Question

Write the sentence in symbolic form. Use v,p, and t as defined below.

v: "I will take a vacation."
p: "I get the promotion."
t : "I will be transferred."
If I am transferred, then I will not take a vacation.

v→t
t→v
t→∼v
∼v→t

Answer 1

The symbolic form for the sentence 'If I am transferred, then I will not take a vacation' using the variables provided is 't → ¬v', which expresses a conditional relationship between being transferred and not taking a vacation.

Step-by-step explanation:

To write the sentence in symbolic form, we need to represent it using the variables and logical connectors defined for the given statements. The sentence 'If I am transferred, then I will not take a vacation' is a conditional statement, where 'I am transferred' is the hypothesis and 'I will not take a vacation' is the conclusion. We translate this into symbolic form using the symbols provided (v for vacation, t for transferred).

The correct symbolic representation is t → ¬v, which reads as 'If t, then not v,' connecting the fact of being transferred (t) with the outcome of not taking a vacation (¬v).