If |x| > 5, then x ∈ (– ∞, – 5) ∪ [5, ∞) - Mathematics

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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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APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 6 Linear Inequalities
Exercise | Q 31.(viii) | Page 111
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