Explanation Procedure used: The values of | x | takes value depending on the sign of x . When, x < 0 , | x | = − x When, x ≥ 0 , | x | = x The way of representing a set of numbers satisfying an inequality a ≤ x ≤ b in terms of interval is given by x ∈ [ a , b ] . An inequality x ≥ c is given by x ∈ [ c , ∞ ) . An inequality x < d is given by x ∈ ( − ∞ , d ) . Calculation: The given inequality problem is | x + 4 | − 6 > 0 . Write the given inequalities as two inequalities. ( x + 4 ) > 6 (1) And, − ( x + 4 ) > 6 (2) Simply equation (1)

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ISBN: 9781285195728

Author: Jerome E. Kaufmann, Karen L. Schwitters

Publisher: Cengage Learning

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Chapter 4.CM, Problem 47CM

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Intermediate Algebra

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The inequality and express the solution in interval notation.