MATH 140 In-Class Exercise on Sets
Names____________________________________________________________
1. Let be the universal set.
Let
be a given subset of U.
In the following you are to give an example of a set B that satisfies
the given condition or conditions. There
may be no such set possible. In that
case write “impossible”. Remember that B
is a subset of U.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
2. Let be the universal set.
Suppose that A, B, and C are sets which satisfy:
a) Give an example
of sets A, B, and C such that (If possible)
A = {_________}, B = {___________}, C = {____________}
b) Give an example
of sets A, B, and C such that (If possible)
A = {_________}, B = {___________}, C = {____________}
c) Give an example
of sets A, B, and C such that (If possible)
A = {_________}, B = {___________}, C = {____________}
3. In each of the following find examples of sets A and B that are subsets of the set U={1,2,3,…10} and satisfy the given property or condition. If it is impossible to find such sets write – impossible.
a) a)______________________________
b) b)
______________________________
c) c)
______________________________
d) d)
______________________________
e) n(A)=6, n(B)=6,
and e)
______________________________
f) f)
______________________________
g) g)
______________________________
h) h)
______________________________