Inverse

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The inverse of an element in a set with respect to a binary operation is that element that when combined with the element results in the identity element.

Consider a set A with a binary operation * with identity element e.

The inverse of an element a, denoted by a’, is such that a * a’ = e.

The inverse of an integer x under addition is -x.

Enrichment Task

What is the inverse of a real numbers x (not 0) under multiplication?

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