Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 16 of Exercise 15.2
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16
Solve each of the following system of inequations in R
Given 
and 
Let us consider the first inequality.
⇒ 7x – 1 < –6
⇒ 7x – 1 + 1 < –6 + 1
⇒ 7x < –5
(1)
Now, let us consider the second inequality.
⇒ 3x + 63 < 0
⇒ 3x + 63 – 63 < 0 – 63
⇒ 3x < –63
⇒ x < –21
∴ x ∈ (–∞, –21) (2)
From (1) and (2), we get
∴ x ∈ (–∞, –21)
Thus, the solution of the given system of inequations is (–∞, –21).
