SOLUTION: use a truth table to determine whether the two statements are equivalent. ∼(q → p) ∨ r, (p ∨ q) ∧ ∼ r

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Question 372737: use a truth table to determine whether the two statements are equivalent.
∼(q → p) ∨ r, (p ∨ q) ∧ ∼ r
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
_____ ∼(q → p) ∨ r, (p ∨ q) ∧ ∼ r

p q r |
-------
0 0 0 | 0 | 0
0 0 1 | 1 | 0

hence the statement are not equivalent. In words :

suppose r is true, then the first statement is true for any p, q, and the 2nd wrong for any p,q too, hence the statement are not equivalent.