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Solve the given inequality for real x: 3(2 – x) ≥ 2(1 – x) - Mathematics

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प्रश्न

Solve the given inequality for real x: 3(2 – x) ≥ 2(1 – x)

बेरीज
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उत्तर

3(2 – x) ≥ 2(1 – x)

⇒ 6 – 3x ≥ 2 – 2x

⇒ 6 – 3x + 2x ≥ 2 – 2x + 2x

⇒ 6 – x ≥ 2

⇒ 6 – x – 6 ≥ 2 – 6

⇒ –x ≥ –4

⇒ x ≤ 4

Thus, all real numbers x, which are less than or equal to 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 8 | पृष्ठ १२२
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