SOLUTION: I could really use some help on this problem please.Thank you in advance.
Given p is false, q is true, and r is true, find the truth value of the statement (p V ~q) ↔ ~
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Question 471384: I could really use some help on this problem please.Thank you in advance.
Given p is false, q is true, and r is true, find the truth value of the statement (p V ~q) ↔ ~r.
Show step by step work.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If q is true, then ~q is false (~q is the opposite of q).
If p is false and ~q is false, then p V ~q is false (p v q is only false when both p and q are false)
If r is true, then ~r is false (same reasoning as above).
So if (p V ~q) is false and if ~r is false, then (p V ~q) <--> ~r is true
Note: p <--> q is true when BOTH p AND q share the same truth value. So if they're true together (or false together), then the entire thing is true. It's almost like <--> is an equals sign.
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