Question

solve the inequality and graph the solution on the line provided.
-2x - 76 > -66
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Add 76 to both sides

$-2x-76 + 76>-66 + 76$
$-2x>10$

Step2: Divide both sides by -2 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, $\frac{-2x}{-2}<\frac{10}{-2}$
$x < - 5$

Answer:

<, $x < - 5$
To graph on the number - line: Draw an open circle at - 5 (because the inequality is strict, i.e., $x
eq - 5$) and shade the line to the left of - 5.