RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 6 of Exercise 15.3

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Solve each of the following system of equations in R.

The equation can be re–written as

Adding 1 both the sides, we get,

Subtracting 3 both the sides

Clearly, x≠0, as it will lead equation unmeaningful.

Now, two case arise:

Case1: x+2>0


In this case |x+2|=x+2

Considering Numerator,



x ϵ (1, ) ….(1)

Case 2: x+2<0


In this case, |x+2|=–(x+2)

Considering Numerator,


ut x<–2

Now, from Denominator, we have–

x ϵ (–∞ , 0) …(2)

(1, ) (from 1 and 2)

We can verify the answers using graph as well.

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