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If 4x + 3 > 13, which of the following could be the value o
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04 Mar 2017, 03:26
04 Mar 2017, 03:26
1
Expert Reply
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Question Stats:
95% (00:38) correct
4% (00:44) wrong based on 96 sessions
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If \(4x + 3 > - 13\), which of the following could be the value of x ?
A) —11
B) —9
C) —8
D) —5
E) —3
A) —11
B) —9
C) —8
D) —5
E) —3
Re: If 4x + 3 > 13, which of the following could be the value o
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07 Mar 2017, 15:50
07 Mar 2017, 15:50
Expert Reply
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.
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
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15 Oct 2017, 15:42
15 Oct 2017, 15:42
4
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:
Show: ::
E
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