Question

select the inequality that will require \flipping/switching the symbol.\ -2x > -18, x - 2 > -18, x + 2 > -18, 2x > -18

Explanation:

Step1: Recall inequality - rule

When dividing or multiplying an inequality by a negative number, the inequality - symbol flips.

Step2: Analyze each option

For $-2x > - 18$, to solve for $x$, we divide both sides by $-2$. Since we are dividing by a negative number, the inequality symbol will flip. For $x - 2>-18$, we add 2 to both sides and the symbol doesn't flip. For $x + 2>-18$, we subtract 2 from both sides and the symbol doesn't flip. For $2x>-18$, we divide both sides by 2 (a positive number) and the symbol doesn't flip.

Answer:

$-2x > -18$