Question

What are the missing values, labeled x and y, from the truth table for ~(p ∨ q) ∧ ~p?

a. x = F, y = F

b. x = F, y = T

c. x = T, y = F

d. x = T, y = T

Answer 1

p v q is only false when both p and q are false

Answer 2

so what does this mean for x?

Answer 3

so it's true?

Answer 4

X is T, yep

Answer 5

would Y be true as well?

Answer 6

look at the row where y is at

Answer 7

what is the value of ~(p v q)

Answer 8

do you know what I'm asking?

Answer 9

yes, it would be false right?

Answer 10

~(p v q) is false

now look at ~P in the same row, what is the value of ~P ?

Answer 11

false as well

Answer 12

so Y would be false right?

Answer 13

so if both are false, then the overall statement is ______

Answer 14

yep y is false

Answer 15

thank you so much!

Answer 16

np