Question

A set of rational number is
denoted by
the symbol​

Answer 1

Answer- The above question is from the chapter 'Sets'.

Sets: Collection of well-defined objects is called a set.

Natural numbers: Counting numbers i.e. 1, 2, 3, 4, ... are called natural numbers.

Set of natural numbers is denoted by N.

Whole numbers: 0 and all natural numbers are called whole numbers.

Set of whole numbers is denoted by W.

Integers: Negatives of natural numbers, 0 and all positive natural numbers are called integers.

Set of integers is denoted by Z.

Rational numbers: Numbers which can be written in the form of p/q where p, q are integers and q ≠ 0 are called rational numbers.

Set of rational numbers is denoted by Q.

Real Numbers: Collection of rational and irrational numbers is called real numbers.

Set of real numbers is denoted by R.

Now, the order can be written like this:

Real numbers > Rational Numbers > Integers > Whole Numbers > Natural Numbers

Given question: A set of rational number is denoted by the symbol​ ___ .

Answer: A set of rational number is denoted by the symbol Q.

Answer 2

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Customarily, the set of irrational numbers is expressed as the set of all real numbers "minus" the set of rational numbers, which can be denoted by either of the following, which are equivalent:

R∖Q, where the backward slash denotes "set minus".

R−Q, where we read the set of reals, "minus" the set of rationals.

Occasionally you'll see some authors use an alternative notation: e.g.,

P={x∣x∈R∧x∉Q}

or

I={x∣x∈R∧x∉Q}

But if and when an alternative letter like P or I is used, it should be preceded by a clear statement as to the fact that it is being used to denote the set of irrational numbers.