Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 4 of Exercise 15.3
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4
Solve each of the following system of equations in R.
Clearly, x≠2, as it will lead equation unmeaningful.
Now, two case arise:
Case1: x–2>0
⇒ x>2
In this case |x–2|=x–2
⇒ x ϵ (2, ∞)….(1)
Case 2: x–2<0
⇒ x<2
In this case, |x–2|=–(x–2)
Inequality doesn’t get satisfy
∴, this case gets nullified.
(from 1)
We can verify the answers using graph as well.
