Answer :

Given that 1 < x < 4 and 1 < y < 4

1<x<4……….eq(1)


1<y<4


Multiplying by (-) sign to the above inequality


As we know that the inequality sign changes when multiplied by (-) sign.


Therefore, -1>-y>-4………eq(2)


We can write eq(2) as -4<-y<-1


Now, adding eq(2) and eq(1)


We have, 1-4<x-y<4-1


Therefore, -3<x-y<3


So, by taking mod value of x-y we can write |x-y|<3.


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