Which of the following statement is true ?
3 ⊆ {1,3,5}
3 ∈ {1,3,5}
{3} ∈ {1,3,5}
{3,5} ∈ {1,3,5}
If the sets A and B are defined as A = {(x,y): y = ex , x∈R} B = { (x,y): y = x, x∈R} then
B⊆A
A⊆B
A∩B = ∅
A∪B = A
If A and B are any two sets, then A∩ (A∪B) is equal to
A
B
Ac
Bc
If A and B are disjoint,then n(A∪B) is equal to
n(A)
n(B)
n(A) + n(B)
n(A) * n(B)
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)
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}
Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A∪B ?
3
6
9
18
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
If A, B, C are three sets, then A∩(B∪C) is equal to
(A∪B) ∩ (A∪C)
(A∩B) ∪ (A∩C)
(A∪B) ∪ (A∪C)
None of these