To solve the inequality \(-2x + 5 > 7\), here is the correct order of steps:
Step 1: Subtract 5 from both sides. \[ -2x + 5 - 5 > 7 - 5 \] which simplifies to: \[ -2x > 2 \]
Step 2: Divide both sides by -2. Remember to reverse the inequality sign when dividing by a negative number. \[ \frac{-2x}{-2} < \frac{2}{-2} \] which simplifies to: \[ x < -1 \]
Step 3: Write the solution in interval notation or make a conclusion based on the inequality. Solution: \(x < -1\) can be written in interval notation as \((-∞, -1)\).
So, the order of steps is:
- Step 1: Subtract 5 from both sides.
- Step 2: Divide both sides by -2 (reverse the inequality).
- Step 3: Write the final result or solution.