• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

## Which of the following expresses the range of possible value

tagged by: BTGmoderatorRO

#### Which of the following expresses the range of possible value

Which of the following expresses the range of possible values for t if 0 < |5t - 8| < 1?
A. 2/5 < t < 14/5
B. 2/5 < t < 9/5
C. 7/5 < t < 14/5
D. 7/5 < t < 9/5
E. 9/5 < t < 14/5
OA is D
How do i go about setting up the correct formular to solve this question? can any expert assist me?
Thank you

### GMAT/MBA Expert

Senior | Next Rank: 100 Posts
Joined
16 Dec 2014
Posted:
94 messages
Followed by:
4 members
2
GMAT Score:
770
Roland2rule wrote:
Which of the following expresses the range of possible values for t if 0 < |5t - 8| < 1?
A. 2/5 < t < 14/5
B. 2/5 < t < 9/5
C. 7/5 < t < 14/5
D. 7/5 < t < 9/5
E. 9/5 < t < 14/5
OA is D
How do i go about setting up the correct formular to solve this question? can any expert assist me?
Thank you
Since the absolute value of (5t - 8) is between 0 and 1 then the value of (5t - 8) must be between -1 and 1.

-1 < 5t - 8 < 1
7 < 5t < 9 (add 8 to both sides)
7/5 < t < 9/5 (divide both sides by 5)

Legendary Member
Joined
07 Sep 2017
Posted:
808 messages
Followed by:
3 members
6
Hello, let's apply the definition of absolute value to 0 < |5t - 8| < 1. Hence, $$0<\left|5t-8\right|<1\$$ $$-1<5t-8<1\ \ and\ \ \ \ 5t-8\ne0$$ $$7<5t<9\ \ and\ \ \ \ 5t\ne8$$ $$\frac{7}{5} < t < \frac{9}{5}\ \ and\ \ t\ne\ \frac{8}{5}.$$ Therefore, the correct option should be D.

We have to be carefull here because t cannot be 8/5.

### Top First Responders*

1 Jay@ManhattanReview 81 first replies
2 Brent@GMATPrepNow 67 first replies
3 fskilnik 54 first replies
4 GMATGuruNY 37 first replies
5 Rich.C@EMPOWERgma... 13 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 fskilnik

GMAT Teacher

201 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

155 posts
3 Scott@TargetTestPrep

Target Test Prep

105 posts
4 Jay@ManhattanReview

Manhattan Review

97 posts
5 GMATGuruNY

The Princeton Review Teacher

91 posts
See More Top Beat The GMAT Experts