Question

What is the truth value for the following conditional statement?
p: true
q: true

∼p → q

F T → T
T T → F
F T → F
T F → T

Answer 1

Answer:

FT→T

Step-by-step explanation:

If p is true, then ~p is false.

Now note that

• If a and b are both true, then a→b is true.
• If a is true, b is false, then a→b is false.
• If a is false, b is true, then a→b is true.
• If a and b are both false, then a→b is true.

In your case, both~p is false and q is true, then ~p→q is true too (or FT→T)

Answer 2

Answer:

$F -T\rightarrow T$.

Step-by-step explanation:

We are given that

p: true

q: true

The condition statement $\neg p\rightarrow q$

If p is true then$\neg p$ is false.

If p is false then $\neg p$ is true.

If$\ neg p$ is false and q is true then the value of $\neg p \rightarrow q$ is true.

If  $\neg p$ is true and q is true then $\neg p \rightarrow q$ is true.

If$\ neg p$ is true and q is false then the value of $\neg p \rightarrow q$ is false.

If $\neg p$ is false and q is false then the value of $\neg p \rightarrow q$ is true.

$F-T\rightarrow T$

$T-F\rightarrow F$

$F -F\rightarrow T$

$T-F \rightarrow F$.