COMEDK20269 May 2026Morning ShiftMathematicsSets and RelationsActual
The set expression A (B (A' B')) is equivalent to
Options
- A(Universal set)
- BA B
- C(A' B')'
- DA B'
Correct answer
B. A B
Step-by-step solution
Given expression: A (B (A' B')) Using the distributive law, expand the inner term: B (A' B') = (B A') (B B') Since B B' = , we get: B (A' B') = (B A') = B A' Substitute this back into the original expression: A (B A') Apply the distributive law again: A (B A') = (A B) (A A') Since A A' = (Universal set), we have: (A B) = A B Answer: A B