anonymous
  • anonymous
If p is true, q is false, and r is true, find the truth value of the statement. r--------> (~p<---->~q) The dotted lines are supposed to be solid.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
fill in the blank: if p is true, then ~p is ________
anonymous
  • anonymous
false? I am not understanding how to do this at all.
jim_thompson5910
  • jim_thompson5910
good, if p is true, then ~p is false ~p (read as "not p") is the completely opposite of p

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
so if q is false, then ~q is true
anonymous
  • anonymous
true
jim_thompson5910
  • jim_thompson5910
~p<---->~q turns into false <--> true and this entire thing is false because p <--> q is only true if both p and q are together true or false
jim_thompson5910
  • jim_thompson5910
so we go from this r--------> (~p<---->~q) to this r --------> (false) because r is true we can substitute that in to get (true) ---> (false) but this is false because p --> q is false when p = true, q = false
jim_thompson5910
  • jim_thompson5910
so the final answer is "false"
anonymous
  • anonymous
I am still not understanding how you got to your answer but I am going to apply what you have said and what the book says and see if i cant find a way to grasp it better. Thank you for your help.
jim_thompson5910
  • jim_thompson5910
just keep practicing and it will hopefully sink in a bit better

Looking for something else?

Not the answer you are looking for? Search for more explanations.