RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 1 of Exercise 15.2

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1

Solve each of the following system of inequations in R

x + 3 > 0, 2x < 14

Given x + 3 < 0 and 2x < 14


Let us consider the first inequality.


x + 3 < 0


x + 3 – 3 < 0 – 3


x < –3


x ( –∞, –3) (1)


Now, let us consider the second inequality.


2x < 14



x < 7


x (–∞, 7) (2)


From (1) and (2), we get


x (–∞, –3) (–∞, 7)


x ( –∞, –3)


Thus, the solution of the given system of inequations is (–∞, –3).


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