Question

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q→p?

O the original conditional statement
O the inverse of the original conditional statement
O the converse of the original conditional statement
O the contrapositive of the original conditional statement

Answer 1

(c) the converse of the original conditional statement

Explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

Conditional variations

For the conditional p→q, the variations are ...

• converse: q→p
• inverse: p'→q'
• contrapositive: q'→p'

As you can see from this list, ...

the converse of the original conditional statement is represented by q→p, matching choice C.

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Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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