Chapter 2- Sets
Section 2.1
1- The Cartesian product of set A and B
which is denoted as A x B is
a A and b B.
a)
Multiplicative
product of a x b
b)
Set
of all ordered pairs (a, b)
c)
Collection
of all the subsets
d)
Set
of unordered pair (a, b) or (b, a)
2- What is the number of subsets for the
power set P() and P()?
a) 1 for both
b) 2 for both
c) 1 and 2 respectively
d) 2 and 1 respectively
Section 2.2, 2.3
1- Let A = {1,2,3,4,5}and B = { 0,3,6}. Each of the following operations produces a set. Which
of those sets has {0,1,3} as a subset?
a)
A_B.
b)
A_B.
c)
A_B.
d)
B _A.
2- Find the sets A and B if A-B ={ 1,5,7,8}, B-A = {2,10}, and A_B ={ 3,6,9}.
a)
A={1,5,7,8}
B={2,10}
b)
A={1,3,6,9}
B={2,3,6,9,10}
c)
A={1,3,5,6,7,8,9} B={2,3,6,9,10}
d)
A={1,3,5,6,7,8,9} B={2,3,6,9}
3- If f is defined from R to R such that
f(x)=1/x, is f a function?
a)
True
b)
False
Section 2.4 Summation and Sequences
1- Which is an example of a geometric
progression?
a)
1,3,5,7,9,11
b)
0,1,1,2,3,5,8
c)
1,2,3,5,8,13
d)
1,2,4,8,16,32
2-
a)
n(n+1)
Section 2.5 Cardinality of Sets
1- What is the
cardinality of the following sets?
1. |{
}|= ?
2. |
{2,5,6} | = ?
3. |
{ 1,4,1,5,2,1,5,2,4 } | = ?
a) 0, 3, 9
b) 1, 3, 9
c) 0, 3, 4
d) 1, 4, 4
2- Which of the
following sets are uncountable sets?
1. Natural
numbers
2. Integers
3. Rational
numbers
4. Real
numbers
5. complex
numbers
a) 3
and 5
b) 4
and 5
c) 1
and 3
d) 1
and 5