Engineering Board Exam Reviewer · Inequalities and Absolute Value · medium

Solve x-2/x+3≥0.

1. x≤-3 or x≥2
2. -3<x≤2
3. x<-3 or x≥2
4. x≥2

Answer

C. x<-3 or x≥2

Solution

The critical values are x=2 (zero, included) and x=-3 (undefined, excluded). The quotient is non-negative for x<-3 and x≥2.

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