It is currently 19 Sep 2020, 14:03

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If ⎪t+3⎪ > 5 which of the following could be the value of

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 13306
Followers: 286

Kudos [?]: 3369 [0], given: 12171

If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]  24 Jan 2016, 14:45
Expert's post
00:00

Question Stats:

64% (00:30) correct 36% (00:49) wrong based on 100 sessions
If |t+3| > 5, which of the following could be the value of t ?

Indicate $$all$$ such values.

A −9
B −6
C −2
D 0
E 2
F 3

Practice Questions
Question: 21
Page: 462
Difficulty: medium
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Founder
Joined: 18 Apr 2015
Posts: 13306
Followers: 286

Kudos [?]: 3369 [1] , given: 12171

Re: If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]  24 Jan 2016, 14:49
1
KUDOS
Expert's post
Solution

⎪t+3⎪ > 5 is equal to $$t+3>5$$ $$AND$$ $$-t-3>5$$

From this we do have $$t>2$$ $$AND$$ $$t<-8$$

The answer is $$A$$ and $$F$$
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

GRE Instructor
Joined: 10 Apr 2015
Posts: 3826
Followers: 148

Kudos [?]: 4469 [2] , given: 69

Re: If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]  29 Jun 2018, 06:07
2
KUDOS
Expert's post
Carcass wrote:
If |t+3| > 5, which of the following could be the value of t ?

Indicate $$all$$ such values.

A −9
B −6
C −2
D 0
E 2
F 3

When solving inequalities involving ABSOLUTE VALUE, there are 2 things you need to know:
Rule #1: If |something| < k, then –k < something < k
Rule #2: If |something| > k, then EITHER something > k OR something < -k
Note: these rules assume that k is positive

GIVEN: |t+3| > 5
This is in the form |something| > k, so we'll apply Rule #2.
We get: EITHER t+3 > 5 OR t+3 < -5

If t+3 > 5, then we can subtract 3 from both sides to get: t > 2
So, it's possible that t could equal 3 (answer choice F)

If t+3 < -5, then we can subtract 3 from both sides to get: t < -8
So, it's possible that t could equal -9 (answer choice A)

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.

Re: If ⎪t+3⎪ > 5 which of the following could be the value of   [#permalink] 29 Jun 2018, 06:07
Display posts from previous: Sort by