Question

solve the inequality.
-2(x + 3) < 14
x > ?

Explanation:

Step1: Divide both sides by -2 (reverse inequality sign)

When dividing an inequality by a negative number, the inequality sign flips. So we have:
$$\frac{-2(x + 3)}{-2} > \frac{14}{-2}$$
Simplifying gives:
$$x + 3 > -7$$

Step2: Subtract 3 from both sides

Subtract 3 from each side to isolate \(x\):
$$x + 3 - 3 > -7 - 3$$
Simplifying the left and right sides:
$$x > -10$$

Answer:

\(-10\)