Consider the inequality.

Question

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.