RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 2 of Exercise 15.1

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2

Solve the following linear inequations in R

–4x > 30, when


i. x R


ii. x Z


iii. x N

Given –4x > 30





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 –8.


Thus, the solution of the given inequation is {…, –11, –10, –9, –8}.


iii. x N


As natural numbers start from 1 and can never be negative, when x is a natural number, the solution of the given inequation is .


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