Question

Directions: Follow the instructions for the following inequalities.

1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9


2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)


3. -2 less than or equal to -2 Subtract 6 from both sides, then 8, and then 2


4. -4 < 8 Divide both sides by -4, then by -2


5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answer 1

The answer is -2 because after you multiply you have to divide

Answer 2

1. 504 < 1512

2. 12 > 0

3. -2 = -2

4. -1 < 2

Explanation:

Given that both sides are being changed by the same amount and sign, the sign never changes. They always have the same value.