Question

Logic Question: I need to write two equivalent sentences to the following: If the electricity is out, then I cannot use the computer.
I got the following two sentences:
If I cannot use the computer, then the electricity is out.
The electricity is out and I cannot use the computer.
I just want to make sure these two sentences are equivalent.

Answer 1

the converse isn't equivalent

Answer 2

the contrapositive is
that is if you have
if p then q
the contrapositive is
if not q then not p

Answer 3

also you could think about the statement not p or q being equivalent to p then q

Answer 4

p and q is not equivalent to p->q

Answer 5

ok using the contrapositive:
If I can use the computer, then the electricity is not out.

Answer 6

sounds good

Answer 7

now
(not p) or (q) is also equivalent

Answer 8

my second sentence: The electricity is not out or I cannot use the computer.

Answer 9

thank you very much for your help

Answer 10

ok sounds beautiful

Answer 11

wait

Answer 12

p is i cannot use the computer
not p is i can use the computer

Answer 13

@andu1854 it is a bit backwards

Answer 14

sorry i wasn't paying attention very well

Answer 15

If I cannot use the computer, then the electricity is out.

p=i cannot use the computer
q=the electricity is out
----
not p=?
and q stays the same
since we are looking at (not p) or q