Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 18 of Exercise 15.1
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18
Solve the following linear inequations in R
Given 
⇒ 3(x – 2) ≤ 5x + 8
⇒ 3x – 6 ≤ 5x + 8
⇒ 3x – 6 + 6 ≤ 5x + 8 + 6
⇒ 3x ≤ 5x + 14
⇒ 5x + 14 ≥ 3x
⇒ 5x + 14 – 14 ≥ 3x – 14
⇒ 5x ≥ 3x – 14
⇒ 5x – 3x ≥ 3x – 14 – 3x
⇒ 2x ≥ –14
∴ x ≥ –7
Thus, the solution of the given inequation is [–7, ∞).
