It is very similar to solving an equation. You can add or subtract the same term from both sides. In addition, you can multiply or divide both sides by the same thing. A couple of things to note, though, if you multiply or divide both sides by a negative number, the inequality must be flipped [greater than (>) becomes less than (<) and < would become >]. The same is true if you take the reciprocal of both sides.
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The easiest way to solve an algebra problem is to work out the problem.
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To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.