Question

-3x ≤ 9
Find out the solution and write out your steps

Answer 1

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

1. **Isolate the variable term**: Start by isolating the term containing \(x\). You can do this by dividing both sides of the inequality by \(-3\). However, remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.

2. **Divide both sides by -3**:
\[
\frac{-3x}{-3} \geq \frac{9}{-3}
\]

This simplifies to:
\[
x \geq -3
\]

3. **Write the solution**: The solution to the inequality is:
\[
x \geq -3
\]

In interval notation, this is expressed as \([-3, \infty)\).

### Summary of Steps:
1. Start with the inequality: \(-3x \leq 9\).
2. Divide both sides by \(-3\) and reverse the inequality: \(x \geq -3\).
3. The solution is \(x \geq -3\) or in interval notation \([-3, \infty)\).