Answers:
- p = true
- q = false
- r = true
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Step-by-step explanation:
For a conditional to be false, the antecedent must be true and the conclusion must be false. So the format is (true) --> (false) for the overall conditional to be false.
Since the antecedent must be true, this means p = true. We can shorten this to say p = T, where T stands for "true".
Now we must make (q v ~r) be false.
This is only possible if both pieces q and ~r are false. An "or" statement, aka disjunction, is true if either piece is true; otherwise it's false.
So q = F, where F stands for "false" and ~r = F as well.
If ~r = F, then r = T. Recall the squiggly line or tilde is basically the negation operator. It does the opposite of the statement.