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.