# The propositional form of "if it is not raining and i have the time, then i will go to a movie." given the propositions a: it is raining; b: i have the time; c: i will go to a movie, is:

select one:

a. (a and b) → c

b. (~a and b) → c

c. ~a and ~b → c

d. c → ~p

e. none of the choices

Answers: 2

## Answers

The propositional form of "if it is not raining and i have the time, then i will go to a movie." giv...

(~A and B) → C

(~A and B) → C

c. (~A and B) → C

~ indicates negative

To write the propositional form of this, let's first understand what's happening. The person will go to a movie if both the statements (it is NOT raining, and he has time).

The following are some notations for propositions:

⇒ is a conditional, or implication∧ is "and", or intersection∨ is "or", or union(), [], {}, groupings, same as used in PEMDAS¬ or ~ are both used for "not", or negationThen,

((NOT raining) AND (has time)) ⇒ (Go to movie)

Given the letters you specified to represent the statements:

(~A ∧ B) ⇒ C

Here are some more examples of propositions:

Hope this helps!