## Exam-Style Question on Logic## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 96. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.

Two propositions \(e\) and \(f\) are defined as follows

\(e\): Nigel is exercising regularly,

\(f\): Nigel is getting fitter.

(a) Write down the following statement in words.

$$f\Rightarrow e$$(b) Write down, in words, the contrapositive statement of \(f\Rightarrow e\).

(c) Determine whether your statement in part (a) is logically equivalent to your statement in part (b). Justify your answer.

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