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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.
Absolute Value means the distance from 0, and so you should solve the equation with the number inside the Absolute Value lines as a positive and then solve again as a negative.
the value of variables is determined by the equation, discrete variables have absolute single value while the continuos have a range value
Fractions make no difference to absolute values.
To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.