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.

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

 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.

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step-by-step explanation:

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