Let A and B be two sets. The $(A∪B)'∪(A'∩B)=$
Answer & explanation
Correct answer: option 1
We have,
$(A∪B)'∪(A'∩B)=$
$=(A'∩B')∪(A'∩B)$ Using demorgan's law
$⇒A'∩(B'∪ B)$ Using distributive law
$⇒A'∩(U)⇒A'∩U=A'$ (U = universal set)
Let A and B be two sets. The $(A∪B)'∪(A'∩B)=$
Correct answer: option 1
We have,
$(A∪B)'∪(A'∩B)=$
$=(A'∩B')∪(A'∩B)$ Using demorgan's law
$⇒A'∩(B'∪ B)$ Using distributive law
$⇒A'∩(U)⇒A'∩U=A'$ (U = universal set)