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Solve the Inequality -15 < (3(X - 2))/5 <= 0 - Mathematics

Solve the inequality `-15 < (3(x -  2))/5 <= 0`

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Solution

`-15 < (3(x -  2))/5 <= 0`

⇒ –75 < 3(x – 2) ≤ 0

⇒ –25 < x – 2 ≤ 0

⇒ – 25 + 2 < ≤ 2

⇒ –23 < x ≤ 2

Thus, the solution set for the given inequalityis (–23, 2]

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 6 Linear Inequalities
Q 4 | Page 132
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