Question

this question has two parts. first, answer part a. then, answer part b. part a consider the inequality -3x - 3 > 12. solve the inequality.

Explanation:

Step1: Add 3 to both sides

To isolate the term with \( x \), we add 3 to both sides of the inequality \(-3x - 3 > 12\). This gives \(-3x - 3 + 3 > 12 + 3\), which simplifies to \(-3x > 15\).

Step2: Divide by -3 (reverse inequality)

Next, we divide both sides of the inequality \(-3x > 15\) by -3. When dividing an inequality by a negative number, we must reverse the inequality sign. So, \(\frac{-3x}{-3} < \frac{15}{-3}\), which simplifies to \(x < -5\).

Answer:

\(x < -5\)