Unit 17 - Sets and Functions - Exercise 17.3 - Mathematics 10th
Topics: Properties of Union and Intersection, Associative Property of Intersection, DeMorgan's Laws, Formal proof of fundamental properties of union and intersection of two or three sets, Commutative Property of Union, Commutative Property of Intersection, Associative Property of Union, Associative Property of Intersection, Distributive property of union over intersection, Distributive property of intersection over union
Solved Question 1 of Exercise 17.3
Verify the commutative property of union and intersection for the following sets.
Solved Question 2 of Exercise 17.3
Verify the associative property of union and intersection for the following sets.
Solved Question 3 of Exercise 17.3
Verify (a) Distributive property of union over intersection. (b) Distributive property of intersection over union for the following sets
Solved Question 4 of Exercise 17.3
Verify De Morgan's laws if U ={1,2,3...,12}, A ={1,2,3,4,6,12} and B ={2,4,6,8}.
Solved Question 5 of Exercise 17.3
If, A and B are subset of U then prove the following using properties.