 It is currently 24 Mar 2019, 09:33 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If ⎪t+3⎪ > 5 which of the following could be the value of  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 , given: 5471

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

Question Stats: 58% (00:17) correct 41% (00:40) wrong based on 24 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

_________________
Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 , given: 5471

Re: If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]
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 $$F$$
_________________ GRE Instructor Joined: 10 Apr 2015
Posts: 1543
Followers: 56

Kudos [?]: 1466  , given: 8

Re: If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]
1
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)

Answers: A and F

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails 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

# If ⎪t+3⎪ > 5 which of the following could be the value of  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.