Let A and B be sets in a finite universal set U. Given the following: |A – B|, |A ⊕ B|, |A| + |B| and |A ∪ B| Which of the following is in order of increasing size ?
(A) |A – B|
(B) |A ⊕ B|
(C) |A ⊕ B|
(D) |A – B| Answer: (D)
Explanation: We will draw venn diagram for all set: |A – B|, |A ⊕ B|, |A| + |B| and |A ∪ B|
So, option (D) is correct.
Alternative way –
|A – B| = |A| - |A ∩ B| |A ⊕ B| = |A| + |B| - 2|A ∩ B| |A ∪ B| = |A| + |B| - |A ∩ B|
Therefore,
|A – B|
Article Tags :
Recommended Articles