RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 7 of Exercise 15.3

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Solve each of the following system of equations in R.

x≠1, as it will lead equation unmeaningful.

Now, on subtracting 2 from both the sides, we get–

Now, 3 case arises:

Case 1:1<x<∞

For this case, |2x–1|=2x–1 and |x–1|=x–1

x ϵ (1, ∞ ) …(1)

Case 2:

For this case: |2x–1|=2x–1 and |x–1|=–(x–1)


Case 3:

For this case: |2x–1|=–(2x–1) and |x–1|=–(x–1)

Which is not possible, hence, this will give no solution.

(from 1 and 2)

We can verify the answers using graph as well.

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