Question

1. let

p: the popcorn is salty.
q: the coffee is creamy.
what are the following statements in symbolic form?
3 keep it up!
3d
either is the popcorn salty nor is the coffee creamy.\
the correct option was c
a ( p leftrightarrow q )
b ( p wedge q )
c ( sim p wedge sim q )
d ( sim q leftrightarrow sim p )
...
5 you got it!
3e \it is false that the popcorn is salty or the coffee is creamy.\
a ( sim (p vee q) )
b ( p vee sim q )
c ( sim p rightarrow q )
d ( sim p wedge q )

Explanation:

Step1: Analyze the statement

The statement is "It is false that the popcorn is salty or the coffee is creamy." First, "the popcorn is salty or the coffee is creamy" is symbolized as \( p \vee q \) (where \( \vee \) represents "or"). Then, "it is false that..." means we take the negation of that disjunction.

Step2: Write the symbolic form

The negation of \( p \vee q \) is written as \( \sim (p \vee q) \), where \( \sim \) represents "not" or "false".

Answer:

A. \( \sim (p \vee q) \)