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Question 1187203: Formulate the proposition p ^ (~q v r) in words using
p: I take Discrete Mathematics
q: I take Java Programming
r: I take Data Communications
Answer by math_tutor2020(3816)   (Show Source):
You can put this solution on YOUR website!
Answer: I take Discrete Mathematics, and I either do not take Java Programming or I take Data Communications.
Explanation:
The (~q v r) means "~q or r" where ~q means "not q". It's the opposite of whatever q is. If q represents "I take Java Programming", then ~q means "I do not take Java Programming". As you can see, we simply replace the letters with their sentence counterparts. Think of it like plugging in a number for a variable.
The ^ means "and". The notation p ^ (~q v r) means p is the case, and one of the ~q or r is the case or perhaps both of (~q v r) is the case.
Here are some other examples:
p v r = I take Discrete Mathematics or I take Data Communications
~p ^ q = I do not take Discrete Mathematics and I take Java Programming
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