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Question

Solve the following system of equations in R.
|4-x|+1<3

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Solution

We have,

|4-x|+1-3<0

|4x|2<0 ...(i)Case I:When |4x|0|4x|2<04x2<02x<0x<2x>2 ...(ii)Case II:When |4x|<0|4x|2<0(4x)2<04+x2<0x6<0x<6 ...(iii)Combining (ii) and (iii) we get (2,6) as the solution set.


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