Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 23 of Exercise 15.1
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23
Solve the following linear inequations in R
Given 
For this inequation to be true, there are two possible cases.
i. 8x – 33 > 0 and 2x – 5 > 0
⇒ 8x – 33 + 33 > 0 + 33 and 2x – 5 + 5 > 0 + 5
⇒ 8x > 33 and 2x > 5
However, 
Hence, 
ii. 8x – 33 < 0 and 2x – 5 < 0
⇒ 8x – 33 + 33 < 0 + 33 and 2x – 5 + 5 < 0 + 5
⇒ 8x < 33 and 2x < 5
However, 
Hence, 
Thus, the solution of the given inequation is
.
