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

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प्रश्न

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

बेरीज
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उत्तर

4x + 3 < 5x + 7

⇒ 4x + 3 – 7 < 5x + 7 – 7

⇒ 4x – 4 < 5x

⇒ 4x – 4 – 4x < 5x – 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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Linear Inequalities - Exercise 6.1 [पृष्ठ १२२]

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एनसीईआरटी Mathematics [English] Class 11
पाठ 6 Linear Inequalities
Exercise 6.1 | Q 5 | पृष्ठ १२२
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