Answer to Question #196443 in Discrete Mathematics for Mark

Question

 If the statement ∧ r is true, determine all combinations of truth values for p and s such that the statement 

(q→[¬p∨s])∧[¬s→r] is true.

Answer 1

$(q\to[\lnot p\lor s])\land[\lnot s\to r]$

$(\lnot q\lor \lnot p \lor s) \land (s \lor r)$

If $r=true$ :

$\lnot q \lor \lnot p \lor s$

0 0 0

0 0 1

0 1 0

0 1 1

1 0 0

1 0 1

1 1 1