Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 2 of Exercise 15.3
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2
Solve each of the following system of equations in R.
|4–x|+1<3
Subtracting 1 from both the sides.
⇒ |4–x|+1–1<3–1
⇒ |4–x|<2
We know that,
|a–x|<r ⟺ a–r<x<a+r
Here, a=4 and r=2
⇒ 4–2<x<4+2
⇒2<x<6
⇒ x ϵ(2, 6)
We can verify the answers using graph as well.
