Final answer:
The range of the given relation is x ≤ 0 and y ≤ 0.
Step-by-step explanation:
The range of a relation refers to the set of all possible output values (y-values) that correspond to the given input values (x-values) in the relation.
In this case, the given relation is defined by the conditions x ≤ 0 and y ≤ 0.
Since x is always less than or equal to 0 in this relation, the x-values can be any number that is less than or equal to 0.
Therefore, the x-range is x ≤ 0.
Similarly, since y is always less than or equal to 0 in this relation, the y-values can be any number that is less than or equal to 0.
Therefore, the y-range is y ≤ 0.
Therefore, the range of the given relation is x ≤ 0 and y ≤ 0 (option c).