RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 5 of Exercise 15.2

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5

Solve each of the following system of inequations in R

3x – 6 > 0, 2x – 5 > 0

Given 3x – 6 > 0 and 2x – 5 > 0


Let us consider the first inequality.


3x – 6 > 0


3x – 6 + 6 > 0 + 6


3x > 6



x > 2


x ( 2, ∞) (1)


Now, let us consider the second inequality.


2x – 5 > 0


2x – 5 + 5 > 0 + 5


2x > 5




(2)


From (1) and (2), we get




Thus, the solution of the given system of inequations is


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