SILER, Circuit Judge.
Defendant Shanton Hunter appeals the district court’s sentence of a 168-month term of imprisonment and a three-year term of supervised release. The issue is whether the district court abused its discretion when it imposed the minimum sentence under the United States Sentencing Guidelines (“U.S.S.G.” or “Guidelines”) and ordered that the sentence be served consecutively to the unexpired portion of an unrelated state conviction pursuant to 18 U.S.C. § 3584 and U.S.S.G. § 5G1.3(c). For reasons stated, we affirm.
I.
Hunter pled guilty on January 7, 1992, to one count of distribution of cocaine base, in violation of 21 U.S.C. § 841(a)(1). Previously, in July 1991, Hunter was sentenced by a state court to ten years for robbery and three years for a drug offense, consecutive, for a total sentence of thirteen years. However, as sentences in the Tennessee state system are parolable and the prisons are overcrowded, Hunter was eligible to be released after serving only 36 months. At the time of sentencing in this case, Hunter was serving the sentence in a Tennessee state penitentiary.
The Presentence Report stated that Hunter’s criminal history triggered the career offender provisions of U.S.S.G. § 4B1.1. As a career offender, Hunter’s base offense level was 32 and his criminal history category was VI. He was given a two-level downward adjustment for acceptance of responsibility under U.S.S.G. § 3E1.1. The Guidelines sentencing range was between 168 and 210 months. At the April 27, 1992, sentencing hearing, Judge Edgar sentenced Hunter to the 168-month minimum term provided under the Guidelines. However, he ordered that the sentence be served consecutively to the unexpired portion of the 36-month term of imprisonment Hunter was serving in the Tennessee penitentiary.
II.
The government argues that Hunter has waived this issue on appeal, as defense counsel failed to object at the sentencing hearing. “[Fjailure to raise an objection at trial prevents its consideration on appeal ... ‘It is this Court’s inveterate rule not to reverse on grounds not raised in the district court.’” United States v. Cardinal, 782 F.2d 34, 36-37 (6th Cir.) (quoting United States v. McDowell Contractors, Inc., 668 F.2d 256, 257 (6th Cir.1982)), cert. denied, 476 U.S. 1161, 106 S.Ct. 2282, 90 L.Ed.2d 724 (1986).
At the sentencing hearing, the following was stated:
THE COURT: Any questions about the sentence?
DEFENSE COUNSEL: Your Honor, I don’t have a question. I wonder if I could have just a few minutes before he gets gone. Do you have another sentencing hearing?
THE COURT: No.
DEFENSE COUNSEL: I’m confused about the consecutive as opposed to concurrent nature of the sentence, and I had not researched that a great deal, because in the presentence report, I understood that the sentence today would be concurrent entirely with the other sentence, and I need to look through that for myself if I could.
THE COURT: Okay. You need to look at Section 5G1.3(e).
Then, the court explained its reasoning for the sentence, stating:
THE COURT: Giving him a credit for both of them [state offenses], actually. I’m giving him the benefit of the doubt on both the aggravated robbery and the crack case, which is, the latter of which was related conduct. So, the best we can come up with from the State is he’s going to serve three years before he’s eligible for parole on both cases. So, I’ve given him [129]*129credit for both cases, really, but actually I’m giving him more than that.
I mean, I’ve given him the bottom of the guidelines. So, it’s really sort of academic, because it’s — I’ve given him more than he might otherwise get, anyway, plus some. If you took — if you took 36 months off the top, you’d be at 174 months. I gave him 168 months.
DEFENSE COUNSEL: I understand.
THE COURT: Any question about that?
DEFENSE COUNSEL: (Nodding head negatively.)
The government argues that Hunter’s counsel did not object at the sentencing hearing and, thus, the district court did not have the opportunity to correct the sentence, if necessary. However, we find that defense counsel implicitly raised the argument and preserved the objection.
III.
Both parties agreed that the following section be applied for sentencing purposes:
The sentence for the instant offense shall be imposed to run consecutively to the prior unexpired term of imprisonment to the extent necessary to achieve a reasonable incremental punishment for the instant offense.
U.S.S.G. § 5G1.3(c).
The district court considered the following commentary in determining Hunter’s sentence:
Where the defendant is serving an unexpired term of imprisonment in circumstances other than those set forth in subsections (a) or (b), the court shall impose a consecutive sentence to the extent necessary to fashion a sentence resulting in incremental punishment for the multiple offenses. To the extent practicable, the court shall impose a sentence for the instant offense that results in a combined sentence that approximates the total punishment that would have been imposed under § 5G1.2 (Sentencing on Multiple Counts of Conviction) had all of the offenses been federal offenses for which sentences were being imposed at the same time.
U.S.S.G. § 5G1.3, Application Note 4.
The district court has discretion in imposing the sentence, as 18 U.S.C. § 3584(a) provides:
If multiple terms of imprisonment are imposed on a defendant at the same time, or if a term of imprisonment is imposed on a defendant who is already subject to an undischarged term of imprisonment, the terms may run concurrently or consecutively, except that the terms may not run consecutively for an attempt and for another offense that was the sole objective of the attempt.
See also United States v. Stewart, 917 F.2d 970, 972 (6th Cir.1990).
Hunter’s primary argument is that the district judge should have conducted an analysis or examination to determine whether Hunter’s sentence should have run consecutively to his prior, unexpired state sentence to achieve a reasonable incremental punishment for the offense pursuant to U.S.S.G. § 5G1.2. Though Hunter states that the district court’s analysis was inconsistent with the Presentence Report as it stated the sentences should be concurrent, the probation officer clarified, at the sentencing hearing, that the sentence should be consecutive to the state court sentence.
Nevertheless, Hunter argues that the following method should have been used in determining his sentence.
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SILER, Circuit Judge.
Defendant Shanton Hunter appeals the district court’s sentence of a 168-month term of imprisonment and a three-year term of supervised release. The issue is whether the district court abused its discretion when it imposed the minimum sentence under the United States Sentencing Guidelines (“U.S.S.G.” or “Guidelines”) and ordered that the sentence be served consecutively to the unexpired portion of an unrelated state conviction pursuant to 18 U.S.C. § 3584 and U.S.S.G. § 5G1.3(c). For reasons stated, we affirm.
I.
Hunter pled guilty on January 7, 1992, to one count of distribution of cocaine base, in violation of 21 U.S.C. § 841(a)(1). Previously, in July 1991, Hunter was sentenced by a state court to ten years for robbery and three years for a drug offense, consecutive, for a total sentence of thirteen years. However, as sentences in the Tennessee state system are parolable and the prisons are overcrowded, Hunter was eligible to be released after serving only 36 months. At the time of sentencing in this case, Hunter was serving the sentence in a Tennessee state penitentiary.
The Presentence Report stated that Hunter’s criminal history triggered the career offender provisions of U.S.S.G. § 4B1.1. As a career offender, Hunter’s base offense level was 32 and his criminal history category was VI. He was given a two-level downward adjustment for acceptance of responsibility under U.S.S.G. § 3E1.1. The Guidelines sentencing range was between 168 and 210 months. At the April 27, 1992, sentencing hearing, Judge Edgar sentenced Hunter to the 168-month minimum term provided under the Guidelines. However, he ordered that the sentence be served consecutively to the unexpired portion of the 36-month term of imprisonment Hunter was serving in the Tennessee penitentiary.
II.
The government argues that Hunter has waived this issue on appeal, as defense counsel failed to object at the sentencing hearing. “[Fjailure to raise an objection at trial prevents its consideration on appeal ... ‘It is this Court’s inveterate rule not to reverse on grounds not raised in the district court.’” United States v. Cardinal, 782 F.2d 34, 36-37 (6th Cir.) (quoting United States v. McDowell Contractors, Inc., 668 F.2d 256, 257 (6th Cir.1982)), cert. denied, 476 U.S. 1161, 106 S.Ct. 2282, 90 L.Ed.2d 724 (1986).
At the sentencing hearing, the following was stated:
THE COURT: Any questions about the sentence?
DEFENSE COUNSEL: Your Honor, I don’t have a question. I wonder if I could have just a few minutes before he gets gone. Do you have another sentencing hearing?
THE COURT: No.
DEFENSE COUNSEL: I’m confused about the consecutive as opposed to concurrent nature of the sentence, and I had not researched that a great deal, because in the presentence report, I understood that the sentence today would be concurrent entirely with the other sentence, and I need to look through that for myself if I could.
THE COURT: Okay. You need to look at Section 5G1.3(e).
Then, the court explained its reasoning for the sentence, stating:
THE COURT: Giving him a credit for both of them [state offenses], actually. I’m giving him the benefit of the doubt on both the aggravated robbery and the crack case, which is, the latter of which was related conduct. So, the best we can come up with from the State is he’s going to serve three years before he’s eligible for parole on both cases. So, I’ve given him [129]*129credit for both cases, really, but actually I’m giving him more than that.
I mean, I’ve given him the bottom of the guidelines. So, it’s really sort of academic, because it’s — I’ve given him more than he might otherwise get, anyway, plus some. If you took — if you took 36 months off the top, you’d be at 174 months. I gave him 168 months.
DEFENSE COUNSEL: I understand.
THE COURT: Any question about that?
DEFENSE COUNSEL: (Nodding head negatively.)
The government argues that Hunter’s counsel did not object at the sentencing hearing and, thus, the district court did not have the opportunity to correct the sentence, if necessary. However, we find that defense counsel implicitly raised the argument and preserved the objection.
III.
Both parties agreed that the following section be applied for sentencing purposes:
The sentence for the instant offense shall be imposed to run consecutively to the prior unexpired term of imprisonment to the extent necessary to achieve a reasonable incremental punishment for the instant offense.
U.S.S.G. § 5G1.3(c).
The district court considered the following commentary in determining Hunter’s sentence:
Where the defendant is serving an unexpired term of imprisonment in circumstances other than those set forth in subsections (a) or (b), the court shall impose a consecutive sentence to the extent necessary to fashion a sentence resulting in incremental punishment for the multiple offenses. To the extent practicable, the court shall impose a sentence for the instant offense that results in a combined sentence that approximates the total punishment that would have been imposed under § 5G1.2 (Sentencing on Multiple Counts of Conviction) had all of the offenses been federal offenses for which sentences were being imposed at the same time.
U.S.S.G. § 5G1.3, Application Note 4.
The district court has discretion in imposing the sentence, as 18 U.S.C. § 3584(a) provides:
If multiple terms of imprisonment are imposed on a defendant at the same time, or if a term of imprisonment is imposed on a defendant who is already subject to an undischarged term of imprisonment, the terms may run concurrently or consecutively, except that the terms may not run consecutively for an attempt and for another offense that was the sole objective of the attempt.
See also United States v. Stewart, 917 F.2d 970, 972 (6th Cir.1990).
Hunter’s primary argument is that the district judge should have conducted an analysis or examination to determine whether Hunter’s sentence should have run consecutively to his prior, unexpired state sentence to achieve a reasonable incremental punishment for the offense pursuant to U.S.S.G. § 5G1.2. Though Hunter states that the district court’s analysis was inconsistent with the Presentence Report as it stated the sentences should be concurrent, the probation officer clarified, at the sentencing hearing, that the sentence should be consecutive to the state court sentence.
Nevertheless, Hunter argues that the following method should have been used in determining his sentence. First, the offense level for the instant drug offense should be 18 and the offense level for robbery should be 20. U.S.S.G. § 2B3.1. It is increased by 6 levels if a firearm is used. Thus, the offense level would be 26. Assuming that the robbery offense and the drug offense are not “closely related counts,” each would constitute a “group.” U.S.S.G. § 3D1.4. If Hunter had been sentenced for the robbery and the drug offense at the same time, the offense level would be 27. As Hunter is a career offender, his base offense level is increased to 32. U.S.S.G. § 4B1.1. He received a two-point credit for acceptance of responsibility, resulting in a total combined offense level of 30. Though the district judge found that Hunter’s base offense level [130]*130was 30, Hunter argues that his sentence should not run consecutively to the state offense, as it was unnecessary to achieve an incremental punishment. Instead, Hunter argues the sentence should have been imposed concurrently so he would not have to serve a greater sentence in the present case than if the prior robbery offense had been a federal offense. Hunter contends that as he was a career offender, his base offense level would have been unaffected by including the aggravated robbery conduct. Thus, the district court should have given him the minimum for the current offense and ordered that the term of imprisonment be served concurrently to the state sentence. We disagree.
The goal of U.S.S.G. § 5G1.3 is to provide incremental punishment and to approximate the total punishment that would have been imposed under U.S.S.G. § 5G1.2. The district court could have imposed the 210-month maximum term of imprisonment and ordered that the sentence be served concurrently to the state sentence. Instead, the district court imposed a more favorable sentence to Hunter, as it reduced Hunter’s potential 210-month term of imprisonment to 168 months by accounting for the 36-month state term of imprisonment. If the district court had imposed a 210-month term of imprisonment to be served concurrently with the state term of imprisonment, Hunter would have served six months longer than the sentence imposed. See U.S.S.G. § 5G1.2(c).
This court has held on numerous occasions that the district court has discretion in determining whether to sentence a defendant to terms consecutive or concurrent to a prior, unrelated offense pursuant to U.S.S.G. § 5G1.3. See, e.g., United States v. Stewart, 917 F.2d 970, 974 (6th Cir.1990); United States v. Gibson, 896 F.2d 206 (6th Cir.1990). The district court chose to sentence Hunter to the minimum allowable under the Guidelines to be served consecutively with the state imprisonment. Nevertheless, the district court did not sentence Hunter above the maximum allowed under the Guidelines, and the sentence allowed for incremental punishment. Thus, the court did not abuse its discretion in sentencing Hunter to a 168-month term of imprisonment to run consecutively to his state sentence.
AFFIRMED.