Other Investigations in Logic Quiz

• A: or B: ^

• A: ^ B: and

• A: and B: ^

What is the inverse of the following statement?

"If Jack plays baseball, then Jack participates in sports."

• If Jack participates in sports, then Jack plays baseball.

• If Jack does not play baseball, then Jack does not participate in sports.

• If Jack does not participate in sports, then Jack does not play baseball.

• If Jack does not play baseball, then Jack participates in sports.

What is the contrapositive of the following statement?

"If that fruit isn't ripe, then don't eat it."

• If you do eat that fruit, then it is ripe.

• If you don't eat that fruit, then it isn't ripe.

• If that fruit is ripe, then you do eat it.

If a conditional statement's contrapositive is true, then the statement's converse must also be true.

• True

• False

Given that the hypothesis of a conditional is represented by 𝑝,

and its conclusion is represented by 𝑞,

which of the following show the correct logic notation for either conditionals, converses, inverses, or contrapositives?

• ∼𝑝→∼𝑞

• 𝑞→𝑝

• ∼𝑝→𝑞

• 𝑝→∼𝑞

• 𝑝→𝑞

___________ goes in box A

• not even numbers

• integers

• even numbers

• not integers

___________ goes in box B

• not even numbers

• integers

• even numbers

• not integers

___________ goes in box C

• not even numbers

• integers

• even numbers

• not integers

___________ goes in box D

• not even numbers

• integers

• even numbers

• not integers

_________ goes in box A

• ~p

• q

• ~q

• p