RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 4 of Exercise 15.3

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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


In this case |x–2|=x–2

x ϵ (2, )….(1)

Case 2: x–2<0


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.

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