Question

1. let

p: the popcorn is salty.
q: the coffee is creamy.
what are the following statements in symbolic form?
3a \the coffee is not creamy if and only if the popcorn is salty.\
a $sim q iff p$
b $sim p implies q$
c $p implies sim q$
d $sim p land q$

Explanation:

1. First, identify the negation of \( q \): "The coffee is not creamy" is \( \sim q \) (since \( q \) is "The coffee is creamy").
2. "If and only if" is represented by the biconditional symbol \( \iff \).
3. "The popcorn is salty" is \( p \).
4. So, "The coffee is not creamy if and only if the popcorn is salty" translates to \( \sim q \iff p \).

Answer:

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