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

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

Answer:

Inequality Notation: \(x < - 7\)

For the number line: Place an open circle at \(-7\) (because the inequality is strict, i.e., \(x
eq - 7\)) and shade the line to the left of \(-7\) (since \(x\) is less than \(-7\)).