2024年4月9日发(作者：会声会影怎么导出视频)

Chapter 3 Worksheet Packet

Finite Math Name: ____________________

3.1 – Statements and Logical Connectives

1) List the dominance of connectives from the most dominant to the least dominant.

Indicate whether the statement is a simple statement or a compound statement. If it is a compound

statement indicate whether it is a negation, conjunction, disjunction, conditional or Biconditional by

using both the word and the symbol.

2) The sun is shining and the air is crisp.

3) If the electricity goes out then the standard telephone will still work.

4) The hurricane did $400,000 worth of damage to DeSoto County.

5) If Cathy Smith walks 4 miles today then she will be sore tomorrow.

6) It is false that if John Wubben fixes your car then you will need to pay him in cash.

Write the negation of the statement.

7) No stock mutual funds have guaranteed

yields. 10) Some pine trees do not produce

pinecones.

8) Some turtles do not have claws.

11) No one likes asparagus.

9) All horses have manes.

Write the statement in symbolic form if:

p: The tent is pitched.

q: The bonfire is burning.

12) The tent is not pitched. 14) If the tent is not pitched then the

bonfire is not burning.

13) The bonfire is not burning if and only if

the tent is not pitched.

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Write the statement in symbolic form if:

p: The charcoal is hot.

q: The chicken is on the grill.

15) Neither is the charcoal hot nor is the chicken on the grill.

16) The charcoal is not hot, but the chicken is on the grill.

17) It is false that the charcoal is hot and the chicken is on the grill.

Write the statement in words if:

p: Firemen work hard.

q: Firemen wear red suspenders.

18) ~q

21) ~(q v p)

19) p ^ q

22) p v q

20) ~p  q

Write the statement in symbolic form if:

p: The temperature is 90

o

F.

q: The air conditioner is working.

r: The apartment is hot.

23) The apartment is hot if and only if the temperature is not 90

o

F, or the air conditioner is not

working.

24) If the apartment is hot and the air conditioner is working, then the temperature is 90

o

F.

25) It is false that if the apartment is hot then the air conditioner is not working.

26) The apartment is hot or the air conditioner is not working, if and only if the temperature is 90

o

F.

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