Question

What is the inverse of this statement?
“If it is not Wednesday, then it is sunny.”

Answer 1

Your statement is of the form
~p --> q
(~ is the 'not' operator and the --> is the conditional operator)

The inverse of the form ~p --> q is
p --> ~q

Can you apply it to your statement?
:)

Answer 2

If it is Not wednesday than it is Not sunny? lol

Answer 3

or am i flipping both around and making it Not sunny and Not wednesday

Answer 4

No :)
Let's try it in words, this time:

Your statement is of the form
If not p, then q.
To get its inverse, just negate BOTH of the variables so that it becomes
If not not p, then not q
But not not, is a double negative, resulting in a positive... so it just becomes
If p, then not q

Answer 5

The inverse is, "If it is Wednesday, then it is not sunny"
:)
But logically, it is either "If it is Wednesday, then it is sunny" or " If it is not Wednesday, then its not sunny"

Answer 6

So as Ter was saying; If it is Wednesday, then it is Not sunny?

Answer 7

Way to be direct, @AsbahAshfaq :P
Next time, don't go for the direct, but for the subtle...
It's always nicer for the asker to arrive at the answer on their own :)

@Cjcj58585 That's right :)

Answer 8

1 more Q; can I have the converse metaphor for that as-well? lol

Answer 9

Sorry, didnt think about that.

Answer 10

Ok, instead of that, let me just give you, shall we say, a blueprint, so you have a general idea :)

If your statement is of the conditional form
"If p, then q"
Then the CONVERSE is of the form
"If q, then p"
It's INVERSE is of the form
"If not p, then not q"
Its CONTRAPOSITIVE is of the form
"If not q, then not p"

Remember those, and the fact that if you get "not not", they cancel out :)
Any questions? Feel free to ask :D

Answer 11

Nope no more questions haha thank you!

Answer 12

No problem :)