State whether the following statement is True or False. If |x| < 5, then x ∈ (–5, 5) - Mathematics

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MCQ
True or False

State whether the following statement is True or False.

If |x| < 5, then x ∈ (–5, 5)

Options

  • True

  • False

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Solution

This statement is True.

Explanation:

if |x| < 5 ⇒ –5 < x < 5 ⇒ x ∈ (–5, 5).

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
Solved Examples | Q 14 (v) | Page 105
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