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An absolute value inequality is an equation of the form ∣A∣B, or ∣A∣≥B, where an expression A (and possibly but not usually B) depends on a variable x. Solving the inequality means finding the set of all x that satisfy the inequality. Usually this set will be an interval or the union of two intervals.
On using the property of inequality −ax≥−b⇒x≤(−b)(−a), we get the result as
Now, we know that for an inequality
Using the above concept in equation (1), we get the result as
Hence, values of x lies between [-16,2].
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