RD Sharma - Mathematics

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.


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