Which number set can you find: a. the inverse of integers under multiplication? b. the inverse...

Which number set can you find:

a. the inverse of integers under multiplication?

b. the inverse of natural numbers under multiplication?

Solutions

Expert Solution

In (a) , for Z ,we can't have a set containing inverse of all elements of it under multiplication.(as, 0 € Z does not have inverse under multiplication)

So,I've written ,If we take Z^* then we can have a set containing inverse of all its elements. i.e. Q (set of rationals)

(b) for N, the set containing it's inverse elements is Q⁺ .(set of positive rationals)

Colby Messinger answered 1 year ago

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