Given a conditional statement p → q, which statement is logically equivalent?

2 answers:

7 0

(p -> q) <=> ( (~p) v q )

~p -> ~q <=> p v (~q) //not equivalent
~q -> ~p <=> (~(~q) v ~p) <=> ((~p) v q) //equivalent
q -> p <=> q v (~p) //not equivalent
p -> ~q <=> p v q //not equivalent

answer: ~q -> ~p logically equivalent to p -> q

svlad2 [7]4 years ago

3 0

Hello,
p=>q is equivalent to ~q → ~p

p-------q-------p=>q--~q ----- ~p----~q → ~p
0-------0-------1-------1 ------- 1------- 1
0-------1-------1-------0------- 1------- 1
1-------0-------0-------1------- 0-------0
1-------1-------1-------0------- 0-------1

Column 3= column 6 ==>equivalent

Answer B

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