Determine if x=-6 satisfies $0

Name: Determine if x=-6 satisfies $0 < \frac { x + 5 } { 6 } < 2$ . A) x=-6 does satisfy the inequality. B) x=-6 does not satisfy the inequality.
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Question

Determine if x=-6  satisfies $0 < \frac { x + 5 } { 6 } < 2$ .
A) x=-6 does satisfy the inequality.
B) x=-6 does not satisfy the inequality.

Quizplus · Accepted Answer

Plug in x=-6 into the inequality:

$0 < \frac { x + 5 } { 6 } < 2$

$0 < \frac { -6 + 5 } { 6 } < 2$

$0 < \frac { -1 } { 6 } < 2$

This means that $\frac{-1}{6}$ is between 0 and 2. However, -6 does not satisfy this inequality as it is outside the given range. Thus, the answer is B.

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Determine If X=-6 Satisfies $0 < \frac { x + 5 } { 6 } < 2$