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Solve the given inequality and show the graph of the solution on number line: 3x – 2 < 2x +1 - Mathematics

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Question

Solve the given inequality and show the graph of the solution on number line:

3x – 2 < 2x +1

Sum

Solution

Given inequality, 3x – 2 < 2x + 1

Putting 2x on left side and 2 on right side,

3x – 2x < 1 + 2

or x < 3

∴ Solution is x ∈ (- ∞, 3]

The graphical representation of the solutions of the given inequality is as follows.

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Chapter 6: Linear Inequalities - Exercise 6.1 [Page 122]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Exercise 6.1 | Q 17 | Page 122

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