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

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Founder
Joined: 18 Apr 2015
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GRE 1: Q160 V160
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Kudos [?]: 3690 [0], given: 12953

If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]  24 Jan 2016, 14:45
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Question Stats:

64% (00:31) correct 35% (00:47) wrong based on 110 sessions
Founder
Joined: 18 Apr 2015
Posts: 13940
GRE 1: Q160 V160
Followers: 316

Kudos [?]: 3690 [1] , given: 12953

Re: If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]  24 Jan 2016, 14:49
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GRE Instructor
Joined: 10 Apr 2015
Posts: 3915
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Kudos [?]: 4782 [2] , given: 70

Re: If ⎪t+3⎪ > 5 which of the following could be the value of [#permalink]  29 Jun 2018, 06:07
2
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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
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Brent Hanneson – Creator of greenlighttestprep.com

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

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