Question

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

Explanation:

Step1: Add 4 to both sides

$-2x-4 + 4>10 + 4$
$-2x>14$

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

Since dividing by a negative number, the inequality sign flips. $\frac{-2x}{-2}<\frac{14}{-2}$
$x < - 7$

Answer:

<, $x < - 7$
To graph on the number - line: Draw an open circle at - 7 (because the inequality is strict, $x$ cannot equal - 7) and shade the line to the left of - 7.