GATE 2021 CS-Set-2
April 2, 2025GATE 2014 [Set-3]
April 2, 2025UGC NET CS 2006 Dec-paper-2
| Question 4 |
Which of the following is not true ?
| Not given any option | |
| A – B = A ∩~B | |
| Not given any option | |
| Not given any option |
Question 4 Explanation:
A−B= A−(A∩B)
= A-(A∩B)
= A∩(A∩B)’
= A∩(A’ ∩ B’)
= (A∩A’)U(A∩B’)
= U(A∩B’)
= ∅ U ( A ∩ B’)
= A ∩ B’
= A-(A∩B)
= A∩(A∩B)’
= A∩(A’ ∩ B’)
= (A∩A’)U(A∩B’)
= U(A∩B’)
= ∅ U ( A ∩ B’)
= A ∩ B’
Correct Answer: B
Question 4 Explanation:
A−B= A−(A∩B)
= A-(A∩B)
= A∩(A∩B)’
= A∩(A’ ∩ B’)
= (A∩A’)U(A∩B’)
= U(A∩B’)
= ∅ U ( A ∩ B’)
= A ∩ B’
= A-(A∩B)
= A∩(A∩B)’
= A∩(A’ ∩ B’)
= (A∩A’)U(A∩B’)
= U(A∩B’)
= ∅ U ( A ∩ B’)
= A ∩ B’