Advertisements
Advertisements
Question
If P = {factors of 36} and Q = {factors of 48}; Find: P ∪ Q
Solution
1 x 36 = 36
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
6 x 6 = 36
1 x 48 = 48
2 x 24 = 48
3 x 16 = 48
4 x 12 = 48
6 x 8 = 48
∴ Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
P = {Factors of 36}
= {1, 2, 3, 4, 6, 8, 12, 18, 36}
Q = {Factors of 48}
= {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}
P ∪ Q = {1, 2, 3, 4, 6, 9, 12, 18, 36} ∪ {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}
= {1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48}
APPEARS IN
RELATED QUESTIONS
Using the given Venn diagram, write the element of A ∪ B
Using the given Venn diagram, write the element of A – B
Using the given Venn diagram, write the element of B – A
Using the given Venn diagram, write the element of A’
Let U = {0, 1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5, 7} and B = {0, 2, 3, 5, 7}, find the following set
A’
Let U = {0, 1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5, 7} and B = {0, 2, 3, 5, 7}, find the following set
A‘ ∪ B’
Find the symmetric difference between the following sets
X = {5, 6, 7} and Y = {5, 7, 9, 10}
Let A and B be two overlapping set and the universal set U. Draw appropriate Venn diagram for the following
(A ∩ B)’
Let A and B be two overlapping set and the universal set U. Draw appropriate Venn diagram for the following
A’ ∩ B’
If B ⊆ A then n(A ∩ B) is
