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Solve the Given Inequality for Real X: 4x + 3 < 5x + 7 - Mathematics

Solve the given inequality for real x: 4x + 3 < 5x + 7

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Solution

4x + 3 < 5x + 7

⇒ 4x + 3 – 7 < 5x + 7 – 7

⇒ 4x – 4 < 5x

⇒ 4x – 4 – 4x < 5– 4x

⇒ –4 < x

Thus, all real numbers x,which are greater than –4, are the solutions of the given inequality.

Hence, the solution set of the given inequality is (–4, ∞).

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 6 Linear Inequalities
Q 5 | Page 122
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