Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 10th
Q. No. 5 of Exercise 15.1
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5
Solve the following linear inequations in R
x + 5 > 4x – 10
Given x + 5 > 4x – 10
⇒ x + 5 – 5 > 4x – 10 – 5
⇒ x > 4x – 15
⇒ 4x – 15 < x
⇒ 4x – 15 – x < x – x
⇒ 3x – 15 < 0
⇒ 3x – 15 + 15 < 0 + 15
⇒ 3x < 15
∴ x < 5
Thus, the solution of the given inequation is (–∞, 5).
