Answer
$a=-2$
Work Step by Step
We have
$$
a x+4 \leq-12.
$$
Adding $-4$ to both sides we get
$$
a x \leq-16.
$$
Dividing both sides by $a=-2$, we have
$$
x \geq 8.
$$
That is when $a=-2$ the solution set is $[8,\infty)$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 4 - Section 4.1 - Solving Linear Inequalities - Exercise Set - Page 265: 88
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