Question

solve for x and graph the solution on the number line below.
-10 > x - 2 > -12

Explanation:

Step1: Add 2 to all parts

Add 2 to each part of the compound - inequality $-10>x - 2>-12$.
$-10 + 2>x-2 + 2>-12 + 2$

Step2: Simplify the expressions

Simplify each side of the inequality.
$-8>x>-10$

Answer:

The solution is $-10 < x < -8$. To graph it on a number - line, draw an open circle at $x=-10$ and at $x = - 8$, and shade the region between them.