Logical Statements

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

"If you make a lot of money, then you can buy a nice car."

What is the hypothesis?

• You can't buy a nice car.

• You make a lot of money.

• You can buy a nice car.

• You don't make a lot of money.

What would be the inverse of the conditional statement?

"If you make a lot of money, then you can buy a nice car."

• If you can't buy a nice car, then you don't make a lot of money.

• If you don't make a lot of money, then you can't buy a nice car.

• If you can buy a nice car, then you make a lot of money.

• If you make a lot of money, then you can buy a nice car.

What would be the contrapositive of the conditional statement?

"If Oliver makes a lot of money, then he can buy a nice car."

• If Oliver can't buy a nice car, then he doesn't make a lot of money.

• If Oliver doesn't make a lot of money, then he can't buy a nice car.

• If Oliver can buy a nice car, then he makes a lot of money.

• If Oliver makes a lot of money, then he can buy a nice car.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

• Hypothesis: a man is 7 feet tall

  Conclusion: he plays basketball

• Hypothesis: IF a man is 7 feet tall

  Conclusion: THEN he plays basketball

• Hypothesis: THEN he plays basketball

  Conclusion: IF a man is 7 feet tall

• Hypothesis: he plays basketball

  Conclusion: a man is 7 feet tall

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

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

• If an object is not a ring, then it is not made of god.

• If an object is not made of gold, then it is not a ring.

• There is no converse of the statement.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

• If a species is not human, then it does not walk on two feet.

• If a species is human, then it walks on two feet.

• If a species does not walk on two feet, then it is not human.

• There is no contrapositive of the statement.

Which of the following is the BICONDITIONAL of the statement below?

If there is lightning, then there is thunder.

• If there is not lightning, then there is not thunder.

• If there is thunder, then there is lightning.

• There is lightning if and only if (iff) there is thunder.

• There is no biconditional statement.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

An angle is acute if and only if (iff) it has a measure less than 90°.

• Biconditional

• Converse

• Inverse

• Contrapositive