Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 27 of Exercise 15.1
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
27
Solve the following linear inequations in R
Given 
For this inequation to be true, there are two possible cases.
i. 25x + 17 > 0 and 8x + 3 < 0
⇒ 25x + 17 – 17 > 0 – 17 and 8x + 3 – 3 < 0 – 3
⇒ 25x > –17 and 8x < –3
However, 
Hence, 
ii. 25x + 17 < 0 and 8x + 3 > 0
⇒ 25x + 17 – 17 < 0 – 17 and 8x + 3 – 3 > 0 – 3
⇒ 25x < –17 and 8x > –3
However, 
Hence, this case is not possible.
Thus, the solution of the given inequation is
.
