Victor solved this inequality as shown: step 1: 3x − 5 > x + 5 step 2: 2x − 5 > 5 step 3: 2x > 10 step 4: x > 5 what property justifies the work between step 3 and step 4?

Division property of Inequality.

Step-by-step explanation:

For this case we know that:

- According to the Addition property of Inequality:

If , then

- Based on the Subtraction property of  Inequality:

If , then

- Based on the Multiplication property of  Inequality:

If , then  (If )

- According to the Division property of  Inequality:

If , then (If )

Knowing these properties, we can identify  the property that justifies the work between Step 3 and Step 4. This is:

"Division property of Inequality"

Because he divided both sides of the inequality by 2: