Question

When each operation described below is performed to both sides of an inequality, is the inequality sign preserved or reversed? Operations: preserved: or reversed: Add 3 Subtract -3 Multiply by 3 Divide by -3

Answer 1

Add 3 -> Preserve

Subtract -3 -> Preserve

Multiply by 3 -> Preserve

Divide by -3 -> Reverse

Explanation:

Required

When is an inequality reversed or preserved

There are only two operations that can reverse an inequality, and they are:

• Multiplying the inequality by a negative number

• Dividing the inequality by a negative number

Other operations will preserve the inequality.

So, the solution is as follows:

Add 3 -> Preserve

Subtract -3 -> Preserve

Multiply by 3 -> Preserve

Divide by -3 -> Reverse