Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 11 of Exercise 15.1
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11
Solve the following linear inequations in R
Given 
⇒ 14x – 14 ≤ 30 + 15x
⇒ 14x – 14 + 14 ≤ 30 + 15x + 14
⇒ 14x ≤ 44 + 15x
⇒ 14x – 44 ≤ 44 + 15x – 44
⇒ 14x – 44 ≤ 15x
⇒ 15x ≥ 14x – 44
⇒ 15x – 14x ≥ 14x – 44 – 14x
∴ x ≥ –44
Thus, the solution of the given inequation is [–44, ∞).
