What are examples of a statements converse, inverse, and contrapositive

The video tutorial explains logical statements, including conditional, converse, inverse, and contrapositive forms. It uses a roller coaster scenario to illustrate these concepts, showing how to form each type of statement and providing examples for better understanding.

What is the converse of the statement 'If I ride a roller coaster, then I will get sick'?

• If I do not ride a roller coaster, then I will not get sick.

• If I get sick, then I rode a roller coaster.

• If I do not get sick, then I did not ride a roller coaster.

• If I ride a roller coaster, then I will not get sick.

Which of the following represents the inverse of the statement 'If I ride a roller coaster, then I will get sick'?

• If I do not get sick, then I did not ride a roller coaster.

• If I ride a roller coaster, then I will not get sick.

• If I get sick, then I rode a roller coaster.

• If I do not ride a roller coaster, then I will not get sick.

What is the contrapositive of the statement 'If I ride a roller coaster, then I will get sick'?

• If I do not get sick, then I did not ride a roller coaster.

• If I get sick, then I rode a roller coaster.

• If I do not ride a roller coaster, then I will not get sick.

• If I ride a roller coaster, then I will not get sick.

Which statement is logically equivalent to the original conditional statement 'If I ride a roller coaster, then I will get sick'?

• None of the above

• The contrapositive

• The converse

• The inverse

In logical terms, what does the contrapositive of a statement involve?

• None of the above

• Negating and switching the hypothesis and conclusion

• Negating both the hypothesis and conclusion

• Switching the hypothesis and conclusion