Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

  • Index
  •  » Exercises
  •  » Matriculation Level Mathematics - Set Theory

#1 2008-11-25 17:05:06

ganesh
Moderator

Offline

Matriculation Level Mathematics - Set Theory

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.


Character is who you are when no one is looking.
 
  • Index
  •  » Exercises
  •  » Matriculation Level Mathematics - Set Theory

Board footer

Powered by FluxBB