# Relations Exercises

### Example 1

Is {(3, 4), (4, 5), (5, 6), . . .} a relation?

### Example 2

Is {(1, 2), (2, 5, 17), (4, 5)} a relation?

### Example 3

Is {(1, 1)} a relation?

### Example 4

Find the domain and range for the following relation. Remember that each element of a set need only be listed once.

{(1, 1), (2, 1), (3, 1)}

### Example 5

Find the domain and range for the following relation. Remember that each element of a set need only be listed once.

{(1, 3), (2, 4), (3, 5), (4, 6) , . . .}

### Example 6

Find the domain and range for the following relation. Remember that each element of a set need only be listed once.

{(*a*, *b*), (*c*, *d*), (*e*, *c*)}

### Example 7

For the following relation, write an equation that describes the connection between *x* (the first number in an ordered pair) and *y* (the second number in an ordered pair).

{(1, 1), (1, -1), (4, 2), (4, -2), (9, 3), (9, -3)}

### Example 8

For the following relation, write an equation that describes the connection between *x* (the first number in an ordered pair) and *y* (the second number in an ordered pair).

{(1, 4), (2, 3), (3, 2), (4, 1), (5, 0), (6, -1), (7, -2)}

### Example 9

Find the relation described: *x* + *y* = 6 and *x* is an integer between 4 and 7.

### Example 10

Find the relation described: |*x*| = *y.* Remember that absolute value thing from way back when?