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 ~

Algebra ->  Proofs -> 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 ~      Log On


   

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) About Me  (Show Source):
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(a) .

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

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