SOLUTION: 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

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

RELATED QUESTIONS
Formulate the proposition p (~q r) in words using p: I take Discrete Mathematics q: I (answered by ikleyn)

looking for help on why the argument is or is not valid on these two. Can anyone help... (answered by solver91311)

Construct deductions for each of the following arguments using Group I rules. (1) 1.... (answered by math_helper)

Write the compound statement in symbols. Let r= The food is good, p= I eat too much, q=... (answered by jim_thompson5910)

For each of the following cases, without using a truth table, write down the condition(s) (answered by solver91311)

~[(T ^ (p v ~q)) v (r ^ (p v ~q))] = ~[(p v ~q) ^ (T v r) is this correct or wrong? (answered by robertb)

I need help finishing this proof. (P . Q) -> (R v S) :. (P -> R) v (Q -> S) 1. (P . (answered by jim_thompson5910)

if p = i like mathematics , and q = i am a good physician,. write out the meaning of... (answered by stanbon)