Consider the inequality.

4x−9≥−21

Correctly order the steps used to solve the inequality.

(3 points)

Step 1.
Step 2.
Step 3.

1 answer

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.
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