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Q: Why set of rational number is denoted by q?

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Probably, because Q denotes the set of rational numbers, which can formaly understood to be quotients of integers.

The set of irrational numbers is NOT denoted by Q.Q denotes the set of rational numbers. The set of irrational numbers is not denoted by any particular letter but by R - Q where R is the set of real numbers.

It could be the set denoted by Q- (the non-positive rationals) or Q+ (the non-negative rationals).

There is no special symbol.The set of rational numbers is denoted by Q and the set of real numbers by R so one option is R - Q.

The set of rational numbers is represented by Q.

Mathematics a rational number is any number that can be expressed as the quotient a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all rational numbers is usually denoted Q (for quotient).

The letter R was used for real numbers. So Q, for quotients was used for rational numbers.

ℚ (fancy capital Q) is the set of rational numbers.

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.

Irrational numbers may be denoted by Q' since they are the complement of Q in R, the set of Real numbers.

Set the decimal in the form p/q, where p and q are integers.

Q stands for quotient. The letter R was already used for the set of Real numbers.

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