Question

solve the inequality for x. -8x - 16 < -72 a x < 7 b x < 11 c x > 7 d x > 11

Explanation:

Step1: Add 16 to both sides

To isolate the term with \( x \), we add 16 to both sides of the inequality \( -8x - 16 < -72 \). This gives us \( -8x - 16 + 16 < -72 + 16 \), which simplifies to \( -8x < -56 \).

Step2: Divide by -8 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. So, we divide both sides of \( -8x < -56 \) by -8. This gives \( \frac{-8x}{-8} > \frac{-56}{-8} \), which simplifies to \( x > 7 \).

Answer:

C. \( x > 7 \)