1.

Solve the following for x, where |x| is modulus function, [x] is the greatest integer function, {x} is a fractional part function. 1 < |x – 1| < 4

Answer»

1 < |x – 1| < 4 

∴ -4 < x – 1 < -1 or 1 < x – 1 < 4 

∴ -3 < x < 0 or 2 < x < 5 

∴ Solution set = (-3, 0) ∪ (2, 5)



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