Conditional Converse Inverse Contrapositive

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.

• If the food is not in the oven, then it is not cooked.

• If the food is cooked, then its in the oven.

• If food is not in the oven, then its cooked.

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 live in Santa Rosa City, then you live in Laguna.

If you live in Laguna, then you live in Santa Rosa City.

• Inverse

• Converse

• Contrapositive

If I study, then I will do well on my Geometry test.

If I did not do well on my Geometry test, then I did not study.

• Inverse

• Converse

• Contrapositive

• Biconditional Statement

If you purchase two bags of chips, then you will get one bag free.

If you did not get one bag for free, then you did not purchase two bags of chips.

• Inverse

• Converse

• Contrapositive

• Biconditional Statement

If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse

• Inverse

• Contrapositive

• Negation

If two angles form a linear pair, then they are adjacent.

If two angles do not form a linear pair, then they are not adjacent.

• Inverse

• Converse

• Contrapositive

Which of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."

• If you are not a guitar player, then you are not a musician.

• If you are a musician, then you are a guitar player.

• If you are a guitar player, then you are not a musician.

• If you are not a musician, then you are not a guitar player.

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S|C).

• No, because P(S) is not the same as P(S|C).

• Yes, because P(S) is the same as P(C|S).

• No, because P(S) is not the same P(C|S).

Given the conditional; "If Jose eats fish, then he has an allergic reaction" Which of the following is the converse?

• None of these

• If Jose doesn't have an allergic reaction, then he didn't eat fish.

• If Jose doesn't eat fish, then he doesn't have an allergic reaction.

• If Jose has an allergic reaction, then he ate fish.