Lukecrayonz
  • Lukecrayonz
If p is true, q is false, and r is false, what is the vaue of (p ^ ~q) ^ r
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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zepdrix
  • zepdrix
Then what is ~q? If q is false, then ~q is true, ya? :)
zepdrix
  • zepdrix
truth table might help you get through this one.
Lukecrayonz
  • Lukecrayonz
I'm trying to help my friend with this but I honestly have never done this, I understand that it is TTF but what makes the final answer true or false?

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Lukecrayonz
  • Lukecrayonz
Such as the next question: if p is true, q is true, and r is true, then what is the value pf (p ^ ~q) ^ r, it would be true, false, true but what would the answer be? True because there are two truths and one false?
zepdrix
  • zepdrix
Umm well if you start in the brackets..\[\large\rm (True\wedge True)\wedge False\]True AND True gives us True. `And` requires that both be true in order to get a true result.\[\large\rm (True)\wedge False\]Again we have AND which is requiring BOTH to be true :O So we get a false as our final result since the requirement wasn't met.
Lukecrayonz
  • Lukecrayonz
Hmm I was wondering what the brackets meant lol. So for the following question I posted: (true and not true) and true (True and false) would equal out to be false (false) and True would then be false?
Lukecrayonz
  • Lukecrayonz
Why would the following question be (True ^ True) when there is a not symbol next to q?
zepdrix
  • zepdrix
Oh I guess I misread that :) lol. Good catch
zepdrix
  • zepdrix
`(true AND false) AND true` gave you `(false) AND true` which further gave you `false` yah that sounds right! :)
Lukecrayonz
  • Lukecrayonz
Oh no @zepdrix D: right when I needed you most haha
zepdrix
  • zepdrix
Sorry I left another gal hangin :d gotta keep jumpin back n forth
Lukecrayonz
  • Lukecrayonz
1: F 2: F Correct so far?
zepdrix
  • zepdrix
True table can be a little tricky. Just need to list every possible combination of true/false for the three letters.
zepdrix
  • zepdrix
Ummm, ya that sounds right :D
zepdrix
  • zepdrix
5 minutes? :p oh boy that doesn't give su much to work with lol
Lukecrayonz
  • Lukecrayonz
So basically anytime there is a false such as ~true which would be false ^ (true) So the line would be False ^ True its always false since I guess the false would overpower the true? Lol
Lukecrayonz
  • Lukecrayonz
And if the answer is False ^ False, the answer is False?
zepdrix
  • zepdrix
It's not so much that it "overpowers" it. It's the fact that `AND` is a very strict requirement. `AND` is asking the question "ARE BOTH OF THESE THINGS TRUE?"
zepdrix
  • zepdrix
Correct False AND False gives a False result because we need both True to end up with True.
zepdrix
  • zepdrix
False ^ True => False True ^ False => False False ^ False => False True ^ True => True

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