the number 0 is a solution to: -4 < x + 4 ≤ 6

Explanation:

Step1: Substitute (x = 0) into the inequality

Substitute (x = 0) into (-4<x + 4\leq6). We get (-4<0 + 4\leq6).

Step2: Simplify the inequality

Simplify (0 + 4) to (4). So the inequality becomes (-4<4\leq6).

Since (-4<4) (because (4-(-4)=8>0)) and (4\leq6) (because (6 - 4=2\geq0)), the compound inequality (-4<4\leq6) is True.

Answer:

True