Which option is the converse of P -> Q?

Which option is the converse of P -> Q?

• A. Not P -> Not Q
• B. Not Q -> Not P
• C. Q -> P
• D. P -> Q

Answer: (C)

The key idea here is the converse of a conditional statement. If a statement says “P implies Q,” the converse just swaps the two parts to become “Q implies P.” The option that expresses Q as the hypothesis and P as the conclusion matches this form. For example, if P is “it is raining” and Q is “the ground is wet,” then P -> Q says if it is raining, the ground is wet; the converse says if the ground is wet, it is raining. The other forms correspond to the inverse or contrapositive or are just the original statement, not the converse.

The key idea here is the converse of a conditional statement. If a statement says “P implies Q,” the converse just swaps the two parts to become “Q implies P.” The option that expresses Q as the hypothesis and P as the conclusion matches this form. For example, if P is “it is raining” and Q is “the ground is wet,” then P -> Q says if it is raining, the ground is wet; the converse says if the ground is wet, it is raining. The other forms correspond to the inverse or contrapositive or are just the original statement, not the converse.