RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 3 of Exercise 15.1

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3

Solve the following linear inequations in R

4x – 2 < 8, when


i. x R


ii. x Z


iii. x N

Given 4x – 2 < 8


4x – 2 + 2 < 8 + 2


4x < 10




i. x R


When x is a real number, the solution of the given inequation is.


ii. x Z


As, when x is an integer, the maximum possible value of x is 2.


Thus, the solution of the given inequation is {…, –2, –1, 0, 1, 2}.


iii. x N


As, when x is a natural number, the maximum possible value of x is 2 and we know the natural numbers start from 1.


Thus, the solution of the given inequation is {1, 2}.


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