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Question

Write the set A={1,1/8,1/27,1/64,1/125} in set builder form

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Solution

Notation: x€A means x belongs to A

As you see, 1, 8, 27, 64 and 125 are perfect cubes.

So, set A can be written as:

A = {1/x^3 ; x€N, x≤5 }

Where N is the set of natural numbers.

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