Question

Select the correct answer

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?

Answer 1

division property of equality

Explanation:

First in order to solve we must learn the properties of equality:

Addition property of Inequality:

If a > b , then a + c > b + c

substraction property of inequality

If a > b , then a - c > b - c

Multiplication property of inequality

If a > b , then a * c > b * c (if c > 0)

Division property of inequality

If a > b , then a / c > b / c (if c > 0)

Step 3: 2x>10

Step 4: x>5

When we divide by 2x/2 and 10/2 we get x>5 so we must use the division property of equality

Answer 2

In step 3: 2x>10 in order to get for x make divided 2 in both sides where you get x>5 in step 4