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It is an equation used to anwer an absolute value inequality.
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.
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The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
If the absolute value inequality is of the form where the absolute value of the difference between a variable (X) and some constant (a) is compared to another constant (b) eg |X - a| compared with b, then if the comparison is < or ≤, the compound inequality is a double inequality of the form c < X < d (or ≤), and if the comparison is > or ≥, the compound inequality is a disjoint inequality of the form X < c or X > d (or including the equals). In both cases, c = b - a, d = b + a (>c)