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# 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

• Réponse publiée par: joyce5512

(~A and B) → C

• Réponse publiée par: Laurenjayshree

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 negation

Then,

((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!

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