Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 19 of Exercise 15.1
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
19
Solve the following linear inequations in R
Given 
For this inequation to be true, there are two possible cases.
i. 6x – 5 > 0 and 4x + 1 < 0
⇒ 6x – 5 + 5 > 0 + 5 and 4x + 1 – 1 < 0 – 1
⇒ 6x > 5 and 4x < –1
However, 
Hence, this case is not possible.
ii. 6x – 5 < 0 and 4x + 1 > 0
⇒ 6x – 5 + 5 < 0 + 5 and 4x + 1 – 1 > 0 – 1
⇒ 6x < 5 and 4x > –1
However, 
Thus, the solution of the given inequation is
.
