Question

solve the linear inequality for a. write your answer in inequality notation.
-4 < -2 (a + 7)
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Divide both sides by -2

Note: Dividing an inequality by a negative number reverses the inequality sign.
$\frac{-4}{-2} > \frac{-2(a+7)}{-2}$
$2 > a + 7$

Step2: Subtract 7 from both sides

$2 - 7 > a + 7 - 7$
$-5 > a$

Answer:

$a < -5$