Let and . For and , consider the relation defined by q divides p. Answer the…
MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
Let P={1,2,3,4,5,6} and Q={2,3,4,5}. For p∈P and q∈Q, consider the relation S defined by
q divides p.
Answer the following questions.
(i) Construct S by listing all its ordered pairs.
(ii) Determine the domain and the range of S.
(iii) Arrange the elements of the domain and the range in ascending order.
(iv) State which of the two sets—domain or range—has more elements and justify your answer from the data obtained.