SYMBOLIC LOGIC

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

p: Sara likes physics.

q: Sara likes this book.

• Sara likes physics, Sara not like this book.

• If Sara likes physics, then Sara like this book.

• none of the options

If P represents, "I like Pepsi," and C represents, "I like Coke," which symbolic statement means, "I like Pepsi, and I do not like Coke"?

• P∨∼C

• ∼P∧C

• P∧∼C

• P→∼C

Given:

p: Arturo paints.

q: David draws.

r: Marcus sculpts.

Write in logic symbols: If Marcus sculpts, then Arturo paints or David does not draw.

• r→(p∨∼q)

• 
  r→(p∧∼q)

• p→(q∨∼r)

• r∧p∧∼q

If P represents, "I like Pepsi," and C represents, "I like Coke," which symbolic statement means, "If I do not like Pepsi, then I like Coke"?

• P→C  

• ∼P→∼C  

• ∼P∨C  

• ∼P→C  

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

The following statements represent p and q

p: the sea is calm

q: the sun is up

Which symbolic statement represents "If the sea is calm then the sun is not up"

• 
  p ---> q

• q ---> p

• ~p ---> ~q

• p ---> ~q

he following statements represent p, q and r

p: the sea is calm

q: the sun is up

r: the beach is crowded

Which of the statements below is the correct representation of the symbolic statement:

(q ^ r) ---> p

• The sun is up and the beach is crowded if and only if the sea is calm

• If the sun is up and the beach is crowded, then the sea is calm

• 
  If the sea is calm and the sun is up, then the beach is crowded

• the sun is up and the beach is not crowded or the sea is calm

p: It is raining.

q: The game is cancelled.

r: The boy is sad.

If it is raining and the game is cancelled, then the boy is sad.

• p→q∧r

• q→p∨r

• p∧q→r

• ∼p∧q∨r

Given:
p: Juan eats apples.
q: Juan drinks juice.

Write the following:

p∨∼q 

• Juan eats apples or Juan does not drink juice.

• Juan eats apples and Juan drinks juice.

• If Juan eats apples, then Juan does not drink juice.

• Juan does not eat apples or drink juice.