Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 15 of Exercise 15.1
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15
Solve the following linear inequations in R
Given 
⇒ 2(5 – 2x) < x – 30
⇒ 10 – 4x < x – 30
⇒ 10 – 4x – 10 < x – 30 – 10
⇒ –4x < x – 40
⇒ x – 40 > –4x
⇒ x – 40 + 40 > –4x + 40
⇒ x > –4x + 40
⇒ x + 4x > –4x + 40 + 4x
⇒ 5x > 40
∴ x > 8
Thus, the solution of the given inequation is (8, ∞).
