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}.
