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

May someone help me?

Answer 2

i dont know where part is missing

Answer 3

second to the bottom

Answer 4

oh i see F T F F T F F
~(p ∧ q) and (p ∨ ~q)
1. ~(true) and (true) = false and true not equivalent
2. ~(false) and (true)= true and true equivalent
3. ~(FALSE) and (false) = true and false not equivalent
4. ~(false) and (true) = true and true equivalent

Answer 5

Thanks! But could you help me understand it, a bit more?

Answer 6

for p and q we already have TT TF and FF , that's why we just combination of FT
so p = F and q= T

Answer 7

we just need*

Answer 8

after we got p = F and q = T then of course ~q = F
got it ?

Answer 9

ok. THANKS!

Answer 10

next p ^ q = F ^ T = ?
remember ^ means 'and' and v means 'or'