RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 9 of Exercise 15.3

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Solve each of the following system of equations in R.

Clearly, |x–2|–2≠0


x≠0 and x≠4

Now, 2 case arise:

Case 1:–∞ <x<2

For this, |x–2|=–(x–2)

x ϵ (0,1] …(1)

Case 2: 2<x<∞

For this, |x–2|=x–2

x ϵ [3,4) …(2)

x ϵ (0,1] [3, 4) (from 1 and 2)

We can verify the answers using graph as well.

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