1. Given A={0,1,3,5}, B={1,2,4,7}, C={1,2,3,5,8}, prove that

a)

b)

c)

2.If A = {1,2,3}, B={1,3,5}, C={2,3,4,6}, find

a)

b)

c)

d)

e)

.

3. Write down all the sub-sets of A={a,b,c,d}

4.Wrtie down the following sets in set-builder form:

a) The set A of all months in a year.

b) The set B of all English alphabets

c) C = {3, 6, 9, ............}

d) D = {1, 3, 5, ............}

5. Given U={1,2,3,4,5,6,7}, A={1,2,3,4,5}, B={1,3,5,7},
C={2,5,6,7}, find

a) C - B

b)

6.If U = {1,2,3,4,5,6,7,8,9,10}, A={1,2,3,5,6,7,9}, B={2,4,5,6,8,10},
prove that

a)

b)

7. Let A = {a,b,c} and B = {1,2}, find

and

and show that

.

8. Let A = {1,2,3,4,5}, B = {3,4,5,6,7}, C = {1,3,5,6,7,8}
show that

a)

b)

9. In a city, three daily newspapers A, B, and C are published.42% of the people in that city read A, 51% read B, 68% read C, 30% read both A and B, 28% read both B and C and 36% read both A and C. 8% of the people do not read any of the three newspapers. Find the percentage pf persons who read all the three news papers.