Question

i) x and y are not both zero.
ii) Both x and y are not zero.
Do these two statements mean the same?

Answer 1

i) ~(x = 0 and y = 0)

ii) ?

Answer 2

No

Answer 3

no, the first one means that not both x and y are 0 but one of them might be, while the second one states that both of them are not 0

Answer 4

suppose these two statements are positive.
i) x and y are both zero
ii) both x and y are zero,

then they're the same right?

Answer 5

yes, now both of them are stating that both x and y are zero.