anonymous
  • anonymous
given p is true, q is true, and r is false, find the truth value of the statement ~q --> (p ^ ~r)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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KingGeorge
  • KingGeorge
First, what's the truth value of the statement (p ^ ~r)?
anonymous
  • anonymous
true
KingGeorge
  • KingGeorge
Let's call that s. So the value of s is true. Now what's the truth value of (~q --> s)?

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anonymous
  • anonymous
true!
anonymous
  • anonymous
has to be true --> false to get a false, correct?
KingGeorge
  • KingGeorge
Correct. Since (~q-->s) was true, the statement is true.
anonymous
  • anonymous
great. so a truth table isn't needed for this one?
KingGeorge
  • KingGeorge
It's not necessary since you're already given the truth values, but making one might allow you to see the answer very easily. If you were to make the table, you would then have to pick out the row that has p=TRUE, q=TRUE, r=FALSE, and find the value at the other end of the table.
anonymous
  • anonymous
ok. thanks!
KingGeorge
  • KingGeorge
You're welcome.
anonymous
  • anonymous
typing next one.

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