Exploring Conditional Statements and Their Variants

A statement that can be written in 'neither-nor' form.

A statement that can be written in 'and-or' form.

A statement that can be written in 'if-then' form.

A statement that can be written in 'either-or' form.

Conclusion

Conjecture

Hypothesis

Variable

If today is Thanksgiving Day

Today is Thursday

Today is Thanksgiving Day

If today is Thursday

A number is a rational number

If it is a rational number

A number is an integer

If it is an integer

The hypothesis must be false and the conclusion must be true.

The hypothesis must be true and the conclusion must be false.

Both the hypothesis and conclusion must be true.

Both the hypothesis and conclusion must be false.

True

Both true and false

False

Neither true nor false

Negating both the hypothesis and conclusion

Flipping the hypothesis and conclusion

Flipping and negating the hypothesis and conclusion

Leaving the hypothesis and conclusion unchanged

If an animal does not have six legs, then it is not an adult insect

If an animal is an adult insect, then it does not have six legs

If an animal is not an adult insect, then it does not have six legs

If an animal has six legs, then it is an adult insect

Its inverse

Its converse

Its contrapositive

None of the above

If an animal does not have four paws, then it is not a cat

If an animal is not a cat, then it does not have four paws

If an animal is a cat, then it does not have four paws

If an animal has four paws, then it is a cat