V K Raman and S N Sharma Solutions for Exercise 1: EXERCISE

The first numbers of the four elements of a set of ordered pairs is given by the set $\{1, 2, 3, 4\}.$ Find the corresponding second numbers by using the rule is one-third of. Write the set of ordered pairs. Draw the arrow diagram.

The second numbers of the four elements of a set of ordered pairs is the elements of the set $\{10, 20, 30, 40\}.$ By using the rule is half of find the first set. Write the set of ordered pairs and draw the arrow diagram.

Let $A=\{2, 3, 4, 5\}, B=\{4, 5, 6, 9, 10, 11\},$ and $R$ is the relation "is a factor of" from $A$ to $B$.
List $R$ as the set of ordered pairs.
 

Let $A=\{2, 3, 4, 5\}, B=\{4, 5, 6, 9, 10, 11\},$ and $R$ is the relation "is a factor of" from $A$ to $B$.
Find domain and range of $R$.
 

Let $A=\{2, 3, 4, 5\}, B=\{4, 5, 6, 9, 10, 11\},$ and $R$ is the relation "is a factor of" from $A$ to $B$.
Represent $R$ by an arrow diagram.

Let $A=\{1, 4, 9, 16, 25\}, B=\{-5, -2, -1, 1, 2, 4, 5, 6, 7\}$ and $R=$ "is the square of " from
$A$ to $B$.
Draw an arrow diagram to represent $R$.
 

Let $A=\{1, 4, 9, 16, 25\}, B=\{-5, -2, -1, 1, 2, 4, 5, 6, 7\}$ and $R=$ "is the square of " from
$A$ to $B$.
List $R$ as the set of ordered pairs.
 

Let $A=\{1, 4, 9, 16, 25\}, B=\{-5, -2, -1, 1, 2, 4, 5, 6, 7\}$ and $R=$ "is the square of " from
$A$ to $B$.
Write the domain and range of $R$.