The set of all positive integers whose cube is odd. - Vidyadip

Question

The set of all positive integers whose cube is odd.

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Answer

As the cube of an odd integer is odd, and an odd positive integer has the form 2n + 1 for same $\text{n}\ge0,$
Hence the set of all positive integers whose cube is odd may be written in set builder form as $\{\text{x}\in \text{Z},\text{x = 2n+1},\text{n}\ge0\}.$

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