Fsc Part 1 Mathematics (Complete Solution)
Q8
From suitable properties of union and intersection deduce the following results
(i) A∩(AUB)=AU(A∩B)
SOLUTION:
Using the property of distributivity of intersection over union.
A∩(AUB)=(A∩A)U(A∩B)=AU(A∩B) [∴A∩A=A]
(ii) AU(A∩B)=A∩(AUB)
SOLUTION:
By using the property of distributivity of union over intersection
AU(A∩B)=(AUA)∩(AUB)=A∩(AUB) [∴A∩A=A]