Question

Which statement demonstrates the symbolic representation p ∨ ~q in words?

p = Alicia likes ice cream.
q = Samantha eats pizza every day.


Alicia likes ice cream, and Samantha does not eat pizza every day.
Alicia likes ice cream, and Samantha eats pizza every day.
Alicia likes ice cream, or Samantha does not eat pizza every day.
Alicia likes ice cream, or Samantha eats pizza every day.

Answer 1

\[\lor\]means or so forget the first two

Answer 2

the ~ means NOT so go with #3
it is always #3

Answer 3

ok could you explain the "or" and "and" differance in the answers

Answer 4

in math OR means "one or the other or both" so if i say

"I will go to the movies or eat popcorn"

it means either i will go to the movies,
or i will eat popcorn,
or i will eat popcorn at the movies.

AND means both, so if i say
"i will go the the movies and eat popcorn"
it means just what you think it means, i will eat popcorn at the movies

Answer 5

oky dok so for this one the answer would be the 3rd answer

p = Pentagons have five sides.
q = Parallel lines do not intersect.

Which symbolic representation demonstrates the following statement?

“Pentagons have five sides, and parallel lines intersect.”

~p ∧ q
p ∧ ~q
p ∨ ~q
~p ∨ q