Question

1. -2(w + 4) + 9 < -11

Explanation:

Step1: Distribute -2

$-2(w + 4) + 9 = -2w - 8 + 9$
Simplify: $-2w + 1$
So the inequality becomes $-2w + 1 < -11$

Step2: Subtract 1 from both sides

$-2w + 1 - 1 < -11 - 1$
Simplify: $-2w < -12$

Step3: Divide by -2 (reverse inequality)

$\frac{-2w}{-2} > \frac{-12}{-2}$
Simplify: $w > 6$

Answer:

$w > 6$