Question

From the given ordered pairs (3,5);(8,4);(6,6);(9,11);(6,3);(3,0);(1,2) find the following relations. Also, find the domain and range of each relation.

(a) Is greater than
(b) Is less than
(c) Is less than, by at least two
(d) Is equal to

Answer 1

To determine the relations 'Is less than, by at least two' and 'Is equal to' from the given ordered pairs, compare the y-values of the pairs. If the second y-value is at least two units less than the first y-value, the relation 'Is less than, by at least two' is true. If the first and second y-values are the same, the relation 'Is equal to' is true.

Step-by-step explanation:

(c) The relation 'Is less than, by at least two' can be determined by comparing the y-values of the ordered pairs. If the second y-value is at least two units less than the first y-value, then the relation is true. For example, in the ordered pair (3,5) and (8,4), the second y-value decreases by at least two units, so the relation 'Is less than, by at least two' is true.

(d) The relation 'Is equal to' can be determined by comparing the y-values of the ordered pairs. If the first and second y-values are the same, then the relation is true. For example, in the ordered pair (6,6), both y-values are 6, so the relation 'Is equal to' is true.