Conditional Statements

Front

Conditional statement: If a man is 7 feet tall, then he plays basketball. Identify the hypothesis and conclusion.

Back

Hypothesis: a man is 7 feet tall
Conclusion: he plays basketball

Front

What is true about the conditional statement: "If you are flying, then you are in a jet"?

Back

Hypothesis: you are flying. Conclusion: you are in a jet.

Front

What is the CONVERSE of the statement: If an object is a ring, then it is made of gold?

Back

If an object is made of gold, then it is a ring.

Front

Converse of: If an object is a bird, then it can fly.

Back

If an object can fly, then it is a bird.

Front

A concluding statement reached using inductive reasoning is called a _______

Back

conjecture

Front

Back

x = -2

Front

Counterexample for: If an animal is furry, then it is a hamster. Options: goldfish, frog, elephant, cat

Back

cat

Front

Counterexample for: If it is a fraction, then it is a number between zero and one. Options: 2/3, 4/5, 1/2, 3/2

Back

3/2

Front

Write the following as a conditional statement: "A counterexample shows that a conjecture is false."

Back

If a conjecture is false, then a counterexample is shown.

Front

Determine if the conditional is true or false: "If you live in a country that borders the United States, then you live in Canada."

Back

False, if you live in a country that borders the United States, then you live in Canada or Mexico.