WARMUP: SYMBOLIC LOGIC AND TRUTH TABLES

The symbol ^ represents

• or

• negation

• and

• if.....then

Tags

CCSS.HSS.CP.B.8

The symbol "v" means

• or

• and

• negation

• if....then

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

The symbol "~" represents

• or

• negation

• and

• if....then

Tags

CCSS.HSS.CP.A.1

Which of the following means "not p or q"

• p v q

• p v ~q

• ~p ^ q

• ~p v q

Tags

CCSS.HSS.CP.A.1

Which of the following means "not p and q"

• p ^ ~q

• p ^ q

• ~p v q

• ~p ^ q

The following statements represent p and q

p: the sea is calm

q: the sun is up

Which of the following means, "the sun is up and the sea is calm."

• ~q ^ p

• q ^ ~p

• q ^ p

• p v q

The following statements represent p and q

p: the sea is calm

q: the sun is up

Which of the following means "it is false that the sea is calm and the sun is up"

• ~ (p v q)

• ~ (p v ~q)

• ~ (p ^ q)

• ~ (~ p ^ ~ q)

a: The Cardinals did not come to play.

b: The Cowboys folded like a cheap tent.

Which of the following is the symbolic form for,

"The Cardinals came to play, and the Cowboys folded like a cheap tent."

• ~a -> b

• ~a /\ b

• a \/ ~b

• None of the above

Write the following statement in symbolic notation: “I am going to watch a musical, and I will either laugh or cry.”

Let A = “I am going to watch a musical.”

Let B = “I will laugh.”

Let C = “I will cry.”

• (A∧B)∨C

• A∧B∨C

• A∧(B∨C)

• None of the above

p: It is raining.

q: The game is cancelled.

r: The boy is sad.

The game is cancelled and the boy is sad; therefore, it is raining.

•  $q\wedge r\therefore p$  
  

•  $q\vee r\therefore p$  
  

•  $q\rightarrow r\wedge p$  
  

•  $q\wedge\sim r\rightarrow p$