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Solve the inequation 18 – 3 (2x – 5) > 12; x ∈ W. - Mathematics

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Question

Solve the inequation 18 – 3 (2x – 5) > 12; x ∈ W.

Sum

Solution

18 – 3 (2x – 5) > 12; x ∈ W.

⇒ 18 - 6x + 15 > 12

⇒ 33 - 6x > 12

⇒ - 33 + 33 - 6x > 12 - 333

⇒ - 6x < - 21 

⇒ `(-6x)/(-6)< (-21)/-6`

⇒ n <`21/6`

⇒ n < 3.5

But x ∈ W, x = 0, 1, 2, 3

∴ Solution set = {0, 1, 2, 3}

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Replacement Set and Solution Set
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Chapter 15: Linear Inequations - Exercise 15 (A) [Page 173]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 15 Linear Inequations
Exercise 15 (A) | Q 9 | Page 173
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