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MCQ

True or False

If |x| > 5, then x ∈ (– `oo`, – 5) ∪ [5, `oo`)

#### Options

True

False

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#### Solution

This statement is **False**.

**Explanation:**

If |x| > 5 then x < –5 or x > 5

⇒ x ∈ (– `oo`, – 5) ∪ (5, `oo`)

Concept: Algebraic Solutions of Linear Inequalities in One Variable and Their Graphical Representation

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