The union of the set of rational numbers and the set of integers is the set of rational numbers.

Name: The union of the set of rational numbers and the set of integers is the set of rational numbers.
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Every integer is a rational number (it can be expressed as a fraction where the denominator is 1), so the union of the set of integers with the set of rational numbers does not add any new elements beyond those already in the set of rational numbers.

The Union of the Set of Rational Numbers and the Set