1.

The set of all integers x such that |x-5| < 3 is equal to

Answer»

|x - 5| < 3

⇒ -3 < x - 5 < 3

⇒ -3 + 5 < x < 3 + 5

⇒ 2 < x < 8

Therefore,

Required set = {3, 4, 5, 6, 7}



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