Advertisements
Advertisements
Question
Choose the correct alternative:
For non-empty sets A and B, if A ⊂ B then (A × B) ∩ (B × A) is equal to
Options
A ∩ B
A × A
B × B
none of these
Solution
A × A
APPEARS IN
RELATED QUESTIONS
Write the set {−1, 1} in set builder form
By taking suitable sets A, B, C, verify the following results:
A × (B ∩ C) = (A × B) ∩ (A × C)
By taking suitable sets A, B, C, verify the following results:
A × (B ∪ C) = (A × B) ∪ (A × C)
By taking suitable sets A, B, C, verify the following results:
(A × B) ∩ (B × A) = (A ∩ B) × (B ∩ A)
By taking suitable sets A, B, C, verify the following results:
C − (B − A) = (C ∩ A) ∪ (C ∩ B')
By taking suitable sets A, B, C, verify the following results:
(B − A) ∩ C = (B ∩ C) − A = B ∩ (C − A)
By taking suitable sets A, B, C, verify the following results:
(B − A) ∪ C = (B ∪ C) − (A − C)
Choose the correct alternative:
If two sets A and B have 17 elements in common, then the number of elements common to the set A × B and B × A is
