Final answer:
The result of the substitution ((Vx)(f(x) < 7)[x = 7] is undefined.
Step-by-step explanation:
The expression provided, ((Vx)(f(x) < 7)[x = 7], represents a logical statement involving a variable x and a function f(x), stating that for all x, the function f(x) is less than 7. However, when we substitute x = 7 into the expression, the outcome is indeterminate or undefined. This is due to the lack of explicit information about the function f(x) itself. Without knowing the specific nature or definition of f(x) and its behavior around x = 7, it's impossible to ascertain the validity or result of the substitution.
The provided expression involves a universal quantifier (∀x) indicating that for all values of x, the function f(x) should be less than 7. Yet, when evaluating the expression by substituting x = 7, the answer becomes undefined. This ambiguity arises from the absence of information about the function f(x). It's crucial to note that the nature of f(x) near x = 7 plays a significant role in determining the validity of the substitution. Without knowing the precise properties or definition of f(x), it remains uncertain whether the condition (f(x) < 7) holds true when x equals 7, leading to an undefined result for the given substitution.