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If 4x + 3 > —13, which of the following could be the value o

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If 4x + 3 > —13, which of the following could be the value o [#permalink] New post 04 Mar 2017, 03:26
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Question Stats:

71% (00:26) correct 28% (00:30) wrong based on 52 sessions



If \(4x + 3 > - 13\), which of the following could be the value of x ?


A) —11

B) —9

C) —8

D) —5

E) —3
[Reveal] Spoiler: OA

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Re: If 4x + 3 > —13, which of the following could be the value o [#permalink] New post 07 Mar 2017, 15:50
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Explanation

An Algebra question with numbers as answer choices and the phrase "which of the following could be a value of x" is a perfect candidate for substituting.

Quickly plug in the answer choices. Start with the median value answer choice, –8:

If x = –11

\(4x + 3 > -13\)
\(4(-11) + 3 > -13 ..... -44 + 3 > -13 ...... -41 > -13\) NOT CORRECT

If x = –9

\(4x + 3 > -13\)
\(4(-9) + 3 > -13 ..... -36 + 3 > -13 ...... -33 > -13\)NOT CORRECT


If x = –8

\(4x + 3 > -13\)
\(4(-8) + 3 > -13 ..... -32 + 3 > -13 ...... -29 > -13\)NOT CORRECT


If x = –5

\(4x + 3 > -13\)
\(4(-5) + 3 > -13 ..... -20 + 3 > -13 ...... -17 > -13\)NOT CORRECT


If x = –3

\(4x + 3 > -13\)
\(4(-3) + 3 > -13 ..... -12 + 3 > -13 ...... -9 > -13\)CORRECT

Hence option E is correct.
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Re: If 4x + 3 > —13, which of the following could be the value o [#permalink] New post 15 Oct 2017, 15:42
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Carcass wrote:



If 4x + 3 > —13, which of the following could be the value of x ?


A) —11

B) —9

C) —8

D) —5

E) —3


Given: 4x + 3 > —13
Subtract 3 from both sides to get: 4x > —16
Divide both sides by 4 to get: x > —4

If x is GREATER THAN -4, x cannot equal -11 or -9 or -8 or -5
-3 is the only answer choice that is GREATER THAN -4

Answer:
[Reveal] Spoiler:
E


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Re: If 4x + 3 > —13, which of the following could be the value o   [#permalink] 15 Oct 2017, 15:42
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