The question is about an inequality that contains modulus. Our task is to find out the range of the x in the inequality. Inequalities are crucial to understand many topics that are tested in the CAT exam. Having a good foundation in this subject can help us tackle questions in Coordinate Geometry, Functions, and most importantly in Algebra. A range of CAT questions can be asked based on this simple concept.

Question 8: (|x| - 2) (x + 5) < 0. What is the range of values x can take?

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This can be true in two scenarios.

**Scenario I:** (|x| - 2) < 0 and (x + 5) > 0

Or |x| < 2 and x > -5.This gives us the range (-2, 2)

**Scenario II:** (|x| - 2) > 0 and (x + 5) < 0

Or |x| > 2 and x < -5. This gives us the range (-∞, -5)

So, the overall range is (-∞, -5) or (-2, 2)

The question is **"(|x| - 2) (x + 5) < 0. What is the range of values x can take?"**

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