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Solving inequalities is quite similar to solving equalities - you try to isolate the variable on one side. The main difference is that if you multiply (or divide) by a negative number, you have to invert the inequality. Here is an example:
-2x + 3 > 11
Subtract 3 from each side:
-2x > 8
Divide both sides by (-2) - note that this involves inverting the sign:
x < -4
Inverting the inequality can be tricky if you have to multiply or divide by a variable expression. You may have to consider both cases - that the expression is positive, and that it is negative.
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