(a) The universal set U = {x : x is a positive integer, x ≤ 20}. Sets A and B are subsets of U such that A = {x : x is a prime number} and B = {x : x is an odd number}.

(i) List the elements of A and B.
(ii) Find A ∩ B and A ∪ B.
(iii) Find (A ∪ B)' and verify that n(A ∪ B) + n((A ∪ B)') = n(U).

(b) In a class of 50 students, 30 study Mathematics, 25 study Physics and 10 study both Mathematics and Physics. Using a Venn diagram or otherwise, find the number of students who study:
(i) Mathematics only;
(ii) Physics only;
(iii) neither Mathematics nor Physics.

Question

(a) The universal set U = {x : x is a positive integer, x ≤ 20}. Sets A and B are subsets of U such that A = {x : x is a prime number} and B = {x : x is an odd number}.

(i) List the elements of A and B.
(ii) Find A ∩ B and A ∪ B.
(iii) Find (A ∪ B)' and verify that n(A ∪ B) + n((A ∪ B)') = n(U).

(b) In a class of 50 students, 30 study Mathematics, 25 study Physics and 10 study both Mathematics and Physics. Using a Venn diagram or otherwise, find the number of students who study:
(i) Mathematics only;
(ii) Physics only;
(iii) neither Mathematics nor Physics.

Accepted Answer

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Answer

A) null

Answer

B) null

Answer

C) null

Answer

D) null

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