Q. 2

Solve each of the

|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.

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