Given the sets A = {multiples of 3 less than 12}, B = {integers between 4 and 8} and C = {4,5,7}, find:
(i)
A∩B;
(ii)
(A∪B)∩C;
(ii)
(A∩B)∪C;
Given that P = {factors of 36} and Q = {factors of 54},
(i)
list the members in the sets P and Q.
(ii)
Find:
Α
P∩Q
Β
n(P∩Q)
Γ
The Highest Common Factor (HCF) of 36 and 54.
In the Venn diagram, M and N are intersecting sets in the universal set µ.
(a)
Express n(M) and n(N) in terms of x.
(b)
Given that n(M) = n(N), find the:
(i)
Value of x.
(ii)
n(µ)