Answer :

|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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