Which one of the following is the contrapositive, in words, of the conditional logic statement p → q?
Understand the Problem
The question is asking for the contrapositive of a conditional statement in logical terms. The given propositions p and q relate to the divisibility of a positive integer n, and we need to express the contrapositive statement correctly in words.
Answer
If not q, then not p.
The contrapositive of the conditional logic statement "p → q" is "if not q, then not p".
Answer for screen readers
The contrapositive of the conditional logic statement "p → q" is "if not q, then not p".
More Information
In logic, the contrapositive of a statement is formed by negating both the hypothesis and the conclusion, and then swapping them. It is logically equivalent to the original statement.
Tips
A common mistake is to confuse the contrapositive with the converse or inverse. Always swap and negate for the contrapositive.
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