The complement of the set of rational numbers?

Answer 1

Complement of a Set: The complement of a set, denoted A', is the set of all elements in the given universal set U that are not in A. In set- builder notation, A' = {x ∈ U : x ∉ A}. The Venn diagram for the complement of set A is shown below where the shaded region represents A'.Rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.Consider Q and Qc, the sets of rational and Irrational Numbers, respectively: x∈Q→x∉Qc, since a number cannot be both rational and irrational. So, the sets of rational and irrational numbers are complements of each other.