Sets, Relations...

The value of (A ∪ B ∪ C) ∩ (A ∩ B^c ∩ C^c)^{c ∩ Cc, is}

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A ∪ B

If A = [(x, y) : x² + y² = 25] and B = [(x, y) : x² + 9y² = 144], then A ∩ B contains

If A = [x : x is a multiple of 3] and B = [x : x is a multiple of 5], then A – B is

If A = {x : x² – 5x + 6 = 0}, B = {2, 4}, C = {4, 5}, then A × (B ∩ C) is

Let A = {1,2,3,4,5}; B = {2,3,6,7}. Then the number of elements in (A × B) ∩ (B × A) is

Let R be relation on the set N be defined by {(x, y)| x, y ϵ N, 2x + y = 41}. Then R is

Let R be the relation on the set R of all real numbers defined by a R iff |a – b| ≤ 1. Then R is

Let R be a relation on the set N of natural numbers defined by nRm ⇔ n is a factor of m(i.e., n|m). Then R is

Let a relation R be defined by R = {(4, 5); (1, 4); (4, 6); (7, 6); (3, 7)} then R^–1 oR is