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When adding or subtracting from both sides, the symbol doesn't change. The symbol only reverses when both sides are multiplied or divided by a negative number, because doing so makes the lesser side greater and the larger side smaller.

Consider:

5>-3 *-1 -5<3

6>4 *-1 -6<-4

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Q: When solving an inequality how do you know to change the symbol?
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