Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. let p: the popcorn is salty. q: the coffee is creamy. what are the f…

Question

  1. let

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

Explanation:

Brief Explanations

To translate the statement "If the popcorn is salty, then the coffee is not creamy" into symbolic form:

  • Let \( p \) represent "The popcorn is salty" and \( q \) represent "The coffee is creamy".
  • "If \( p \), then not \( q \)" is symbolized as \( p \implies \sim q \), where \( \implies \) is the implication operator and \( \sim \) denotes negation.

Answer:

B. \( p \implies \sim q \)