give inverse of it is cold if it is 10 degrees

Question

anonymous · Answer

i believe i know the question but i got to say if its true or false "If its not then its not 10 degrees"

directrix · Answer

it is cold if it is 10 degrees

If it is 10 degrees, then it is cold.

p: it is 10 degrees
q: it is cold

p implies q reads: If it is 10 degrees, then it is cold.

The inverse of p --> q is the following:  ~p --> ~q  [Read as: not p implies not q]

Inverse: If it is not 10 degrees, then it is not cold.

directrix · Answer

Something is left out of what you wrote as the inverse:

"If its not then its not 10 degrees"  --> If it's not what?

anonymous · Answer

if its not cold then its not 10 degrees sorry about leavin that out

anonymous · Answer

wouldn't it be a false statement?

directrix · Answer

What you just wrote is not the inverse of p implies q. You wrote the contrapositive.

The portion of the given statement "behind" the "if" is the hypothesis.

directrix · Answer

Inverse: If it is not 10 degrees, then it is not cold.

I would say "false" because it could be 5 degrees and it would be cold.