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Solve the given inequality and show the graph of the solution on number line: 3(1 – x) < 2 (x + 4) - Mathematics

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Question

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

3(1 – x) < 2 (x + 4)

Sum

Solution

3(1 - x) < 2 (x + 4)

= 3 - 3x < 2x + 8

= 3 - 8 < 2x + 3x

= -5 < 5x

= `(-5)/5 < (5x)/5`

= -1 < x

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 19 | Page 122

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