1. The problem asks which inequality is true when $w = -2$. 2. We will substitute $w = -2$ into each inequality and check if the inequality holds. 3. First inequality: $-w + 6.5 \leq -7$. Substitute $w = -2$: $$-(-2) + 6.5 = 2 + 6.5 = 8.5$$ Check if $8.5 \leq -7$? No, this is false. 4. Second inequality: $w + 6.5 \leq 7$. Substitute $w = -2$: $$-2 + 6.5 = 4.5$$ Check if $4.5 \leq 7$? Yes, this is true. 5. Third inequality: $-w + 6.5 \leq 7$. Substitute $w = -2$: $$-(-2) + 6.5 = 2 + 6.5 = 8.5$$ Check if $8.5 \leq 7$? No, this is false. 6. Fourth inequality: $w + 6.5 \geq 7$. Substitute $w = -2$: $$-2 + 6.5 = 4.5$$ Check if $4.5 \geq 7$? No, this is false. Final answer: The only true inequality when $w = -2$ is $w + 6.5 \leq 7$.