Example 4: Example 4: If, B⊂≠A' then which of the following sets is equal to A' a - Maths - Sets

Question

Example 4:

Example 4: If, B ⊂ ≠ A' then which of the following sets is
equal to A'
a   A ∩ B   ∪   B      
            b      
    A ∩ B   ∪   A ' c   A ∪ B
  ∩   A '            
      d             A
∪ B   ∩   B

Aarushi Mishra · Accepted Answer

If B⊂A'⇒A∩B=ϕWe knowa
A∩B∪B=ϕ∪B=Bb
A∩B∪A'=ϕ∪A'=A'c
A∪B∩A'=A∩A'∪B∩A'=φ∪B∩A'=B∩A'Since B is a subset of A'⇒B∩A'=Bd
A∪B∩B=A∩B∪B∩B=φ∪B=B

Example 4: Example 4: If, B ⊂ ≠ A' then which of the following sets is equal to A'. a A ∩ B ∪ B b A ∩ B ∪ A ' c A ∪ B ∩ A ' d A ∪ B ∩ B

Example 4:

Example 4: If, B $\underset{\neq}{\subset}$ A' then which of the following sets is equal to A'.
$(a) (A \cap B) \cup B (b) (A \cap B) \cup A' (c) (A \cup B) \cap A' (d) (A \cup B) \cap B$