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 ∅.
