Math CentralQuandaries & Queries


Subject: Inequalities
Name: Jen
Who are you: Parent

In the following inequality, would one flip the inequality symbol?

3x > -12

Thank you,

Hi Jen.

You flip the inequality symbol when multiplying or dividing both side by a negative number. For example,

4 > -2 but when we multiply both sides by -3, we flip to keep the inequality true: -12 < 6.

If you are trying to isolate x in your inequality: 3x > -12
you need to divide by positive 3, so you don't flip the inequality: x > -4

Hope this helps,
Stephen La Rocque.

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