Question

What is the justification for each step in solving the inequality?

2x + 2/3 ≤ 3x − 5/6

Select from the drop-down menus to correctly justify each step.

Statement Reason
2x + 2/3 ≤ 3x − 5/6 Given

2x ≤ 3x − 3/2 Choose: Multiplication or Division Property of
Order, Distributive Property, or Addition or
Subtraction Property of Order

−x ≤ −3/2 Choose: Addition or Subtraction Property of Order,
Distributive Property, or Multiplication or
Division Property of Order

−x/−1 ≤ −3/2/−1 Choose: Addition or Subtraction Property of Order,
Distributive Property, or Multiplication or
Division Property of Order

x ≥ 3/2 Choose: Addition or Subtraction Property of Order,
Distributive Property, or Multiplication or
Division Property of Order