First off, you all got it wrong, you're not supposed to actually solve the equation, because it isn't a equation. You're supposed to find "the justification for each step in solving the inequality". If you guys would've read the question, I wouldn't be here right now writing this for future people who read this.
The Correct Answer Is:
2x + 2/3 ≤ 3x - 5/6 = Given
2x ≤ 3x - 3/2 = Addition or Subtraction Property of Order
-x ≤ -3/2 = Addition or Subtraction Property of Order
-x/-1 ≤ -3/2/-1 = Multiplication or Division Property of Order
x ≥ 3/2 = Multiplication or Division Property of Order
- The answer are correct I checked them and they were correct on the test. You're welcome.