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Solve the inequality, 3x – 5 < x + 7, when x is a natural number. - Mathematics

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Question

Solve the inequality, 3x – 5 < x + 7, when x is a natural number.

Sum

Solution

We have, 3x – 5 < x + 7

⇒ 3x < x + 12   .....(Adding 5 to both sides)

⇒ 2x < 12  ......(Subtracting x from both sides)

⇒ x < 6  ......(Dividing by 2 on both sides)

Solution set is {1, 2, 3, 4, 5}.

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Chapter 6: Linear Inequalities - Solved Examples [Page 100]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Solved Examples | Q 1 (i) | Page 100

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