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Solve the inequality. -15<3(x- 2)5≤0 - Mathematics

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प्रश्न

Solve the inequality.

`-15 < (3(x -  2))/5 <= 0`

योग
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उत्तर

`-15 < (3(x -  2))/5 <= 0`

⇒ –75 < 3(x – 2) ≤ 0

⇒ –25 < x – 2 ≤ 0

⇒ – 25 + 2 < x ≤ 2

⇒ –23 < x ≤ 2

Thus, the solution set for the given inequality is (–23, 2].

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अध्याय 6: Linear Inequalities - Miscellaneous Exercise [पृष्ठ १३२]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 6 Linear Inequalities
Miscellaneous Exercise | Q 4 | पृष्ठ १३२
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