Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 20 of Exercise 15.1
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20
Solve the following linear inequations in R
Given 
For this inequation to be true, there are two possible cases.
i. 2x – 3 > 0 and 3x – 7 > 0
⇒ 2x – 3 + 3 > 0 + 3 and 3x – 7 + 7 > 0 + 7
⇒ 2x > 3 and 3x > 7
However, 
Hence, 
ii. 2x – 3 < 0 and 3x – 7 < 0
⇒ 2x – 3 + 3 < 0 + 3 and 3x – 7 + 7 < 0 + 7
⇒ 2x < 3 and 3x < 7
However, 
Hence, 
Thus, the solution of the given inequation is
.
