RD Sharma - Mathematics

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.


23

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