Act07Key Relations M205 - Math 205 Bridge Course Activity 7...

Math 205 Bridge Course
Activity 7 Key: Relations
1. Let
{ }
{ }
( )
{ }
1,2,3,4
1,3,5
A
B
=
=
= ∈ ×
a. Write R as a set of ordered pairs (that is, use the roster form to write the set given by R ).
b. Find the domain and range of R and 1 −
2. Consider the relation on the natural numbers  defined by
( )
{ }
2
, | 2 12 R m n m n = ∈ + = 
a. Write R as a set of ordered pairs.
b. Find the domain and range of R and 1 −
3. Consider the relation given in Exercise 1.
a. Find 1 R R −  and
1

b. Find the domain and range of