Question

Which statement is the Law of Detachment? (1 point)
A. If p q is a true statement and q is true, then p is true.
B. If p q is a true statement and q is true, then q p is true.
C. If p q and q r are true, then p r is a true statement.
D. If p q is a true statement and p is true, then q is true.

Answer 1

D. If p -> q is a true statement and p is true, then q is true.
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I think this is the correct option. You forgot to add the implication symbol -->.
Also, option B doesn't read properly.
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The syllogism, p implies q, p, therefore q is known as Modens Ponens. See attached file.

http://www.cs.ucsb.edu/~pconrad/cs40/lessons/logic/modusPonensModusTollens.html