Which of the following statement is true ?
3 ⊆ {1,3,5}
3 ∈ {1,3,5}
{3} ∈ {1,3,5}
{3,5} ∈ {1,3,5}
Let A and B be two non empty subsets of a set X. Such that A is not a subset of B, then
A is always a subset of the complement of B
B is always a subset of A
A and B are always disjoint
A and the complement of B are always non - disjoint
B - A is defined as
{x/x∈A, x∉B}
{x/x∈B, x∉A}
{x/x∉A, x∉B}
{x/x∈B, x∈A and B}
If A,B,C are any three sets, then B-(A∪C)
(A - B)∩ (A - C)
(B - A) ∩(B - C)
(B - A)∩(A - C)
(A - B∩(B - C)
Let n(∪) = 700, n(A) = 200, n(B) = 300 and n(A∩B) = 100 then n(A'∩B' )
400
600
300
200
The number of non - empty subsets of the set {1,2,3,4} is
15
14
16
17
If A∩B = B then
A ⊂ B
B ⊂ A
A = ∅
B = ∅
Given n(U) = 20, n(A) = 12, n(B) = 9 , n(A∩B) = 4 , where U is the universal set, A and B are subsets of U then n[(A∪B)'] = -------------
9
11
3
Which of the following is a null set ?
{0}
{x:x>0 or x
{x:x2 = 4 or x=3}
{x: x2 + 1 = 0, x∈R}
Let A and B be subsets of a set X. Then
A - B = A∪B
A - B = A∩B
A - B = Ac ∩ B
A - B = A∩Bc