The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.
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The inequality sign becomes greater than (>).
When one side of the inequality is divided or multiplied by a negative number.
The direction of the inequality is reversed. Note that the if the inequality included "or equals" before, then it will after. 4 < 5 multiplied by -1 gives -4 > -5 5 >= 4 multiplied by -1 gives -5 <= -4
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In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)