Question

Solve for
and choose the correct solution: -3x-9_>6

Answer 1

To solve the inequality \(-3x - 9 \geq 6\), follow these steps:

1. **Add 9 to both sides** to isolate the term with \(x\):
\[
-3x - 9 + 9 \geq 6 + 9
\]
This simplifies to:
\[
-3x \geq 15
\]

2. **Divide both sides by -3**. Remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign:
\[
x \leq \frac{15}{-3}
\]
This simplifies to:
\[
x \leq -5
\]

The solution to the inequality is:
\[
x \leq -5
\]

So, the correct solution is \(x \leq -5\).