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algebra senior

Problem

The symbol means if is greater than or equal to zero, and if a is less than or equal to zero; the symbol means "less than"; the symbol means "greater than." The set of values satisfying the inequality consists of all such that:
(A)
(B)
(C)
(D)
Solution
The equation can be solved by splitting it into two inequalities: and . The solutions to those inequalities are and , respectively. The common interval of those two inequalities is .
Final answer
D