Question

Which statement is the Law of Detachment? (1 point)

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

Which statement is the Law of Detachment? (1 point)
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 and q r are true, the p r is a true statement.
If p q is a true statement and p is true, then q is true.
@Mathematics

Answer 1

The Law of Detachment states that if we have a true conditional statement of the form p → q and the hypothesis p is true, then the conclusion q must also be true.

Step-by-step explanation:

The statement that represents the Law of Detachment is: If p → q is a true statement and p is true, then q is true.

The Law of Detachment states that if we have a true conditional statement of the form p → q and the hypothesis p is true, then the conclusion q must also be true. It allows us to draw valid conclusions from conditional statements.

Answer 2

The law of detachment allows you to "detach" the hypothesis from the conclusion. If we know both that p and p → q to be true, then we may conclude that q is true.

So the answers is the fourth one: If p → q is a true statement and p is true, then q is true.