If p is true, q is false, and r is true, find the truth value of the statement.
The dotted lines are supposed to be solid.
Stacey Warren - Expert brainly.com
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fill in the blank: if p is true, then ~p is ________
false? I am not understanding how to do this at all.
good, if p is true, then ~p is false
~p (read as "not p") is the completely opposite of p
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so if q is false, then ~q is true
false <--> true
and this entire thing is false because p <--> q is only true if both p and q are together true or false
so we go from 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
so the final answer is "false"
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.
just keep practicing and it will hopefully sink in a bit better