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If x is a real number and |x| < 3, then ______. - Mathematics

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Question

If x is a real number and |x| < 3, then ______.

Options

  • x ≥ 3

  • – 3 < x < 3

  • x ≤ – 3

  • – 3 ≤ x ≤ 3

MCQ
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Solution

If x is a real number and |x| < 3, then – 3 < x < 3.

Explanation:

Given that |x| < 3

⇒ –3 < x < 3   .....[∵ |x| < a ⇒ –a < x < a]

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Chapter 6: Linear Inequalities - Exercise [Page 109]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Exercise | Q 22 | Page 109
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