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

• Réponse publiée par: maledabacuetes

  (~A and B) → C
• Réponse publiée par: joyce5512

  (~A and B) → C
• Réponse publiée par: molinamaureen080693

  c. (~A and B) → C

  
  
  

  ~ indicates negative
• 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!