evil1112
Answered

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

~p → ~q

~q → ~p

q → p

p → ~q

Verified Answer :

caylus

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


























facundo3141592

The logically equivalent statement to p → q is:

~q → ~p

How to find the logically equivalent statement?

The conditional statement:

p → q

p and q are propositions, then the conditional statement is can be written as:

  • if p is true, then q is also true.

So, always that p is true, q is also true, this means that if q is not true, then p must also not be true.

Then we can rewrite this using the negation propositions, which are:

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

If you want to learn more about statements, you can read:

https://brainly.com/question/1601404

Related Questions