Question

1. explain why the value x = 0 is a solution to 4(x + 7) > -\frac{1}{2}(14 - x).

Explanation:

Step1: Substitute x=0 into inequality

Substitute $x=0$ into $4(x+7) > -\frac{1}{2}(14-x)$:
Left side: $4(0+7) = 4\times7 = 28$
Right side: $-\frac{1}{2}(14-0) = -\frac{1}{2}\times14 = -7$

Step2: Compare both sides

Check if $28 > -7$ holds true.

Answer:

When $x=0$, the left-hand side of the inequality equals 28 and the right-hand side equals -7. Since $28 > -7$ is a true statement, $x=0$ satisfies the inequality, so it is a solution.