ExplanationAn 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 CORRECTIf x = –9\(4x + 3 > -13\)
\(4(-9) + 3 > -13 ..... -36 + 3 > -13 ...... -33 > -13\)
NOT CORRECTIf x = –8\(4x + 3 > -13\)
\(4(-8) + 3 > -13 ..... -32 + 3 > -13 ...... -29 > -13\)
NOT CORRECTIf x = –5\(4x + 3 > -13\)
\(4(-5) + 3 > -13 ..... -20 + 3 > -13 ...... -17 > -13\)
NOT CORRECTIf x = –3\(4x + 3 > -13\)
\(4(-3) + 3 > -13 ..... -12 + 3 > -13 ...... -9 > -13\)
CORRECTHence option E is correct.
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