Let V = {d}, W = {c, d}, X = {a, b, c}, Y = {a, b}, and Z = {a, b, d}. Consider the following statements: I. Y ⊂ X II. V ⊄ W III. V ∈ Y IV. Z ⊃ V Which of these is not true?
If U and A are two sets, then A′ = U − A is defined as:
The number of elements in the power set can be determined by using the formula:
The union of all even integers and odd integers is:
If B and C are two improper subsets and B ⊂ C and C ⊂ B, then:
If A and B are two sets such that A has 12 elements, B has 21 elements, and A ∪ B has 27 elements, then the number of elements in A ∩ B is:
Let A = {x | x is a multiple of 3} and B = {x | x is a multiple of 5}. Then A ∩ B is:
If A and B are two sets, then:
Let: Z = Set of all integers W = Set of whole numbers N = Set of natural numbers R = Set of real numbers Q = Set of rational numbers Which one of the following is correct?
State which of the following statements are not true: I. (A ∪ B) ∪ C = A ∪ (B ∪ C) II. A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) III. A − (B ∪ C) = (A − B) ∩ (A − C) IV. A − (B ∩ C) = (A − B) ∪ (A − C)
If A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C), then this property is called:
If S = {0, 1} and T = {2, 3}, then S × T =
If A = {1, 2, 3} and B = {1, 2}, then which one of the following relations is correct?
If A = {x | x² = 16 and 2x = 4}, then A is a:
Given that U = {0, 1, 2, 3}, A = {0, 1, 2}, B = {1}, and C = {2, 3}, then the sets A, B, and C are:
If A = {1, 2, 3} and B = {3, 1, 2}, then:
Let U = {1, 2, 3}, A = {1, 2}, B = {2, 3}, and C = {1, 3}. Then (A ∪ B ∪ C)′ is:
Let A = {2, 3}, B = {3, 4}, and C = {4, 5}. Then (A − B) ∩ (A − C) is: (a) (b) (c) (d)
Let A be the set of prime numbers less than 50 and B be the set of odd numbers greater than 40. Then A ∩ B is:
