Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 17 of Exercise 15.1
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17
Solve the following linear inequations in R
Given 
⇒ 2x – 7 < 3x – 6
⇒ 2x – 7 + 7 < 3x – 6 + 7
⇒ 2x < 3x + 1
⇒ 3x + 1 > 2x
⇒ 3x + 1 – 1 > 2x – 1
⇒ 3x > 2x – 1
⇒ 3x – 2x > 2x – 1 – 2x
∴ x > –1
Thus, the solution of the given inequation is (–1, ∞).
