Exploring Conditional Statements and Their Variants

What is a conditional statement?

• 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.

In a conditional statement, what does the letter 'P' represent?

• Conclusion

• Conjecture

• Hypothesis

• Variable

Identify the hypothesis in the statement: 'If today is Thanksgiving Day, then today is Thursday.'

• If today is Thanksgiving Day

• Today is Thursday

• Today is Thanksgiving Day

• If today is Thursday

What is the conclusion in the statement: 'A number is a rational number if it is an integer'?

• A number is a rational number

• If it is a rational number

• A number is an integer

• If it is an integer

What must be true for a conditional statement to be false?

• 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.

What is the negation of a true statement?

• True

• Both true and false

• False

• Neither true nor false

What does the converse of a conditional statement involve?

• Negating both the hypothesis and conclusion

• Flipping the hypothesis and conclusion

• Flipping and negating the hypothesis and conclusion

• Leaving the hypothesis and conclusion unchanged

What is the inverse of the statement: 'If an animal is an adult insect, then it has six legs'?

• 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

Which of the following statements is logically equivalent to a conditional statement?

• Its inverse

• Its converse

• Its contrapositive

• None of the above

What is the contrapositive of the statement: 'If an animal is a cat, then it has four paws'?

• 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