An inequality says that whatever’s on one side is either bigger, or smaller, than what’s on the other side (depending on the sign).

e.g. x + 3 < 6

We can solve this inequality similarly to sign simply being an equals sign, but instead of one answer, we now have a set of values that could work as the answer.

The process for this is identical to the process for solving regular equations, with only one exception:

Whenever you multiply or divide by a negative number, you flip the inequality sign

Example 1

– 2x > 6

In the next step, I’m going to divide all the terms by -2, and so must flip the inequality sign

x < -3



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