Question

Which statement is the Law of Detachment?

Question options:

If p→q and q→r are true, then p→r is a true statement.


If p→q is a true statement and q is true, then p is true.


If p→q is a true statement and q is true, then q→p is true.


If p→q is a true statement and p is true, then q is true.

Answer 1

if p-q is a true statement and p is true ,then q is true

Answer 2

Answer: The correct option is

(D) If p→q is a true statement and p is true, then q is true.

Step-by-step explanation: We are given to select the statement that describes the "Law of Detachment".

We know that "Law of detachment" states that

If a conditional statement is true and its hypothesis is also true, then its conclusion is also TRUE.

For the conditional statement is p → q, the hypothesis is p and conclusion is q.

Therefore, the law of detachment says

"If p→q is a true statement and p is true, then q is true."

Thus, (D) is CORRECT.