Which three statements would produce the truth value F when p is true and q is false? A. p -> q B. ~p/\~q C. p->~q D. q\/~p C. p/\~q please help

Question

asked Dec 24, 2018 231k views

2 Answers

Thesayhey · Answer 1 · 2018-12-26T07:27:09+0000

B. If

is true, then
$\sim p$ (NOT

) is false; If

is false, then
$\sim q$ is true. Then
$\sim p\land\sim q$ must be false, because both arguments are not true.

Jrend · Answer 2 · 2018-12-29T08:45:00+0000

Answer with Step-by-step explanation:

p is true then ~p is false.

q is false then ~q is true.

A. p -> q

if p is true and q is false then this gives false truth value.

Hence, here truth value is F

B. ~p/\~q

if any one of them is false then it gives false truth value.

Hence, here truth value is F(since,~p is false)

C. p->~q

true statement implies a true statement hence, truth value will be true

Hence, here truth value is T(p true implies ~q true)

D. q\/~p

if any one of them is true then compound statement is true.

Hence, here truth value is F(since, ~p and q both are false)

E. p/\~q

if both true then compound statement is also true.

Hence, here truth value is T(since p and ~q both are true)