Can you write the set of rational numbers in roster form?
Answers
Set of rational numbers can not be written in roster form
Step-by-step explanation:
Set is roster form : List all the elements of set
Roster form can not be used for Infinite set.
Also Roster form is not advisable if number of elements is quite high
Set builder form of set is a rule based approach.
Rational numbers are the real numbers which can be written in the form p/q where p,q are integers and q≠ 0.
Rational numbers are infinite
Hence can not be written in roster form
However in set builder form :
Q = { p/q : p , q ∈ Z , q ≠ 0 }
Q Represents set of rational numbers
Z represent set of integers
Hence Set of rational numbers can not be written in roster form
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