Question

Consider the inequality.

4x−9≥−21

Correctly order the steps used to solve the inequality.

(3 points)

Step 1.
Step 2.
Step 3.

Answer 1

To solve the inequality \(4x - 9 \geq -21\), we can outline the steps as follows:

**Step 1:** Add 9 to both sides of the inequality to isolate the term with \(x\).
\[
4x - 9 + 9 \geq -21 + 9
\]
This simplifies to:
\[
4x \geq -12
\]

**Step 2:** Divide both sides by 4 to solve for \(x\).
\[
\frac{4x}{4} \geq \frac{-12}{4}
\]
This simplifies to:
\[
x \geq -3
\]

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

So, the correct order of the steps is:
- Step 1: Add 9 to both sides.
- Step 2: Divide by 4.
- Step 3: Write the final solution.