Question

Part 1: Fill in the missing row of the truth table.
Part 2: Are the two statements logically equivalent? Why or why not?

~(p ∧ q) and (p ∨ ~q)

Answer 1

PLEASE HELP

Answer 2

i think F, T, F, F,T,F,F @jim_thompson5910 ?

Answer 3

you got it correct, very nice

Answer 4

yay but idk how to do the second part ?

Answer 5

well the last column in your table is a big hint

Answer 6

when I say something like p <---> q, I'm making the statement that p and q are logically equivalent. If my statement is correct, then p <---> q is true

But if my statement is false, then p <---> q is false

Answer 7

i still dont understand it

Answer 8

alright look at it like this

Answer 9

two logical statements are equivalent if and only if their truth values are the same (for each possible case)

Answer 10

so are the truth values in the second to last column and the last column the same?

Answer 11

yes so it is logically equivilant right ?

Answer 12

no, they are not the same

Answer 13

the 3rd row is different

Answer 14

so because the two columns are different, the two logical expressions are not equivalent

Answer 15

oh ! wait i get it. The only way they would be logically equivalent is if they have the same truth values, and they dont, so it is not logically equivilant ?

Answer 16

you got it

Answer 17

thankyou so much

Answer 18

you're welcome