SOLUTION: For each of the following cases, without using a truth table, write down the condition(s) under which the compound proposition will be true. Explain briefly.
(a) (p v ~q) ^ (q v ~
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Question 732506: For each of the following cases, without using a truth table, write down the condition(s) under which the compound proposition will be true. Explain briefly.
(a) (p v ~q) ^ (q v ~r) ^ (r v ~p)
(b) (p v q v r) ^ (~p v ~q v ~r)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
(a) \ \small{\vee}\LARGE\ (\neg{p}\ \small{\wedge}\LARGE\ \neg{q}\ \small{\wedge}\LARGE\ \neg{r}))
.
In other words, all of p, q, and r must be true OR they all must be false.
(b) At least one of p, q, and r must be true and at least one must be false.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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