Solve linear inequalities
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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