Final answer:
Upon examining the pairs, the number 5 is found in both the domain and range of the relation, making the statement "The value 5 is a member of both the domain and range" true.
Step-by-step explanation:
The student has asked whether the statement "The value 5 is a member of both the domain and range" is true concerning the relation given by the pairs (3,7), (5,1), (6,4), (2,5). To determine this, we need to look at the individual pairs of numbers, where the first number in each pair represents an element of the domain and the second number represents an element of the range.
Upon inspection, we see that the number 5 does appear in the domain, as it is the first number in the pair (5,1). Similarly, 5 also appears in the range, as it is the second number in the pair (2,5). Since 5 is present in both the domain and range of the relation, the statement is true.