help me answer this q

Question

Write the inverse of the conditional statement.
If it is January, then there are 31 days this month.

If there are 31 days this month, then it is January.
If there are not 31 days this month, then it is not January.
It is January this month, if and only if, there are 31 days this month.
If it is not January, then there are not 31 days this month.

Answer 1

P → Q  and   ¬P → ¬Q    are inverses of each other. 

 

Here,

    P:    It is January

    Q:   There are 31 days this month

 

P → Q

If it is January, then there are 31 days this month.

 

 So, what is

¬P → ¬Q    ?

Answer 2

The inverse negates both the hypothesis and the conclusion:

 

If it is not January, then there are not 31 days this month.

Answer 3

Remember, Kristen, that the inverse is "if not p, then not q" so the last statement is your answer.