Question

1. solve the inequality below: -3y - 6 > 18

Explanation:

Step1: Add 6 to both sides

To isolate the term with \( y \), we add 6 to both sides of the inequality \(-3y - 6 > 18\). This gives us \(-3y - 6 + 6 > 18 + 6\), which simplifies to \(-3y > 24\).

Step2: Divide by -3 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \(-3y > 24\) by \(-3\) gives \( y < \frac{24}{-3} \), which simplifies to \( y < -8 \).

Answer:

\( y < -8 \)