Consider the inequality.

Question

−2x+5>7

Correctly order the steps to solve the inequality.

(3 points)
.
Step 1.
Step 2.
Step 3.

Answer 1

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:

1. Step 1: Subtract 5 from both sides.
2. Step 2: Divide both sides by -2 (reverse the inequality).
3. Step 3: Write the final result or solution.