p= the puppy behaves well q= his owners are happy r= the puppy is trained 3.r ->

Question

p= the puppy behaves well

q= his owners are happy

r= the puppy is trained

3.r -> ( p ^ q)

A)The puppy is trained, the puppy behaves well, and his owners are happy.

B) The puppy is trained and the puppy behaves well if his owners are happy.

C) If the puppy is trained, then the puppy behaves well and his owners are happy.

D) If the puppy is trained and the puppy behaves well, then his owners are happy.

Let

p= "People buy large houses."

q= "Fossil fuels pollute the air."

Write the following compound statement in words.

4. q^ p

A) It is not the case that fossil fuels pollute the air and people buy large houses.

B) People buy large houses and fossil fuels do not pollute the air.

C) Fossil fuels pollute the air or people buy large houses.

D) Fossil fuels pollute the air and people buy large houses.

Let

p= "The monitor is included."

q= "The color printer is optional."

r= "The zip drive is extra."

Write the following compound statement in words.

5.q <-> (~p ^ r )

A) If the color printer is not optional, then the monitor is not included and the zip drive is extra.

B) The color printer is not optional if and only if the monitor is not included and the zip drive is extra. C) If the color printer is optional, then the monitor is not included and the zip drive is extra.

D) The color printer is optional if and only if the monitor is not included and the zip drive is extra.

Let p= "The food tastes delicious."

q= "We eat a lot."

r= "Nobody has dessert."

Write the following compound statement in words.

6.~q V (p ^ r )

A) We do not eat a lot or the food tastes delicious or nobody has dessert.

B) We do not eat a lot or the food tastes delicious and nobody has dessert.

C) We do not eat a lot and the food tastes delicious and nobody has dessert.

D) We eat a lot or the food tastes delicious and nobody has dessert.

Let

p= "Babies eat bananas."

q= "Babies wear plastic bibs."

Write the following compound statement in words.

7. pVq

A) Babies eat bananas and babies wear plastic bibs.

B) Babies wear plastic bibs and babies eat bananas.

C) Babies eat bananas or babies wear plastic bibs.

D) Babies eat bananas or babies do not wear plastic bibs.

Let

p="I eat too much."

q= "I

Explanation / Answer

3.C 4.D 5.D 6.B 7.C 8.D 9.conjunction assuming p is true, q is true, r is false 10.A true 11.A true 12.B false

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