Q5 of 162 Page 1

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find:

A’

A’ means Complement of A with respect to universal set U.


So, A’ = U – A


U – A is defined as {x ϵ U : x ∉ A}


U = {1, 2, 3, 4, 5, 6, 7, 8, 9}


A = {1, 2, 3, 4}


A’ = {5, 6, 7, 8, 9}


More from this chapter

All 162 →
3

Let A = {x:x ∈ N}, B = {x:x = 2n, n ∈ N), C = {x:x = 2n – 1, n ∈ N} and, D = {x:x is a prime natural number} Find:

i. A ∩ B


ii. A ∩ C


iii. A ∩ D


iv. B ∩ C


v. B ∩ D


vi. C ∩ D

 4

Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}.

Find:


i. A – B


ii. A – C


iii. A – D


iv. B – A


v. C – A


vi. D – A


vii. B – C


viii. B – D

 5

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find:

B’

 5

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find:

(A ∩ C)’