Intro to Logic Test 2 Review

If people eat ice cream or toot, then people blame the dog.

• P∨R

• (P∨Q)⇒R

• P⇒R

• Q∨R

People don't eat ice cream and people toot.

• ~P∧Q

• ~(P∧Q)

• ~P∨Q

• P∧~Q

If people don't blame the dog, then people don't toot.

• R⇒Q

• ~R∧~Q

• ~R∨~Q

• ~R⇒~Q

People eat ice cream if and only if they blame the dog.

• P⇒R

• P⇔R

• P∧R

• P∨R

If people eat ice cream and toot, then they blame the dog.

• (P∧Q)⇒R

• (P∨R)⇒Q

• (P∧Q)⇒~R

• (P∨Q)⇒R

P⇒~R

• If people eat ice cream, then they blame the dog.

• If people eat ice cream, then they don't blame the dog.

• People eat ice cream and don't blame the dog.

• People eat ice cream and blame the dog.

Q⇒~Q

• If people toot, then people don't toot.

• People toot and people don't toot.

• People toot if and only if they don't toot.

• If people don't toot, then they toot.

(P∧R)⇔~Q

• People eat ice cream and blame the dog if and only if they toot.

• People eat ice cream and blame the dog.

• People eat ice cream and blame the dog if and only if they don't toot.

• People toot and don't blame the dog.

Q∨~R

• People toot and don't blame the dog.

• People toot or don't blame the dog.

• If people toot, then they blame the dog.

• People toot or blame the dog.

(P∧Q)∨(Q∧R)

• People eat ice cream and toot or they blame the dog.

• People eat ice cream or toot and blame the dog.

• People eat ice cream or toot and eat the dog.

• People eat ice cream and toot, or they toot and blame the dog.