Final answer:
The set V, defined as all numbers greater than -5, can be written using set-builder notation as x > -5, which symbolically represents the infinite elements in V.
Step-by-step explanation:
To rewrite the set V by listing its elements and using the appropriate set notation, given that V is defined as the set of all numbers that are greater than -5, we would first establish the lower limit of the set, which is -5. However, since the condition is 'greater than -5' and not 'greater than or equal to -5,' we do not include -5 in the set.
The notation for such a set can be written in interval notation as (-5, ∞), where the parenthesis indicate that -5 is not included in the set and ∞ (infinity) suggests that there is no upper bound to the set. If we were to list the elements, it would be impossible to enumerate every element because there are infinitely many. Instead, we symbolically represent the elements by using the set-builder notation. The set V can be written as x , which reads 'the set of all x such that x is greater than -5'.