Question

true or false? the order of an inequality reverses if a negative number is multiplied or divided on both sides of the inequality

Answer 1

To solve this question, let's choose some numbers.

Suppose you have the inequality:

5 < 10.

Then, with multiply both sides by -1:

5(-1) _ 10(-1)

-5 ___ -10

Now, -5 is greater than -10.

-5 > -10.

So, the order was reversed.

Let's test dividing both sides by -5.

5/(-5) _ 10/(-5)

-1 __ -2

Again, -1 is greater than -2.

-1 > -2.

In conclusion: Multiplying or dividing both sides of the inequality by a negative number reverses its order.

Answer: True.