RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 10 of Exercise 15.3

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Solve each of the following system of equations in R.

We know that, if we take reciprocal of any inequality we need to change the inequality as well.



|x|>3 or |x|<3

For |x|<3


x ϵ (–3, 3) …(1)

, The equation can be re–written as–

Adding 2 both the sides, we get–

|x|–3+3≥ 2+3


We know that,

|x |≥a x≤–a or x≥a

Here, a=5

x≤–5 or x≥5

x ϵ(–∞,–5 ] or x ϵ[5, ∞) …(2)

x ϵ(–∞,–5 ] (–3, 3) [5, ∞) (from 1 and 2)

We can verify the answers using graph as well.

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