RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 13 of Exercise 15.3

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13

Solve each of the following system of equations in R.

Subtracting 9 from both sides, we get–


|3–4x|–9≥0


For this, we have 2 cases,


Case 1:


For this, |3–4x|=3–4x


3–4x–9≥0


–4x–6≥0


4x≤–6



…(1)


Case 2: 0<x<∞


For this, |3–4x|=–(3–4x)


–3+4x–9≥0


4x–12≥0


4x≥12


x≥3


xϵ [3, ∞ ) …(2)


(from 1 and 2)


We can verify the answers using graph as well.



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