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Solve the Given Inequality for Real X: 3x – 7 > 5x – 1 - Mathematics

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Solve the given inequality for real x: 3x – 7 > 5x – 1

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Solution

3x – 7 > 5x – 1

⇒ 3x – 7 + 7 > 5x – 1 + 7

⇒ 3x > 5x + 6

⇒ 3x – 5x > 5x + 6 – 5x

⇒ – 2> 6

Thus, all real numbers x,which are less than –3, are the solutions of the given inequality.

Hence, the solution set of the given inequality is (–∞, –3).

Concept: Algebraic Solutions of Linear Inequalities in One Variable and Their Graphical Representation
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APPEARS IN

NCERT Class 11 Mathematics
Chapter 6 Linear Inequalities
Q 6 | Page 122
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