The logical inverse of (if A then B)
is
(if not B then not A).
The inverse of 'If I like math then I like science' is 'If I do not like math then I do not like science'.
Math
negative of a number gives its additive inverse
Proof!
The inverse of the statement "If she studies hard in math, then she will succeed" is "If she does not study hard in math, then she will not succeed." This rephrases the original conditional statement by negating both the hypothesis and the conclusion.
An inverse operation is when you do the opisite in math. For example when you subtract the inverse operation is to add.
The inverse of 'If I like math then I like science' is 'If I do not like math then I do not like science'.
The inverse of 'If I like math then I like science' is 'If I do not like math then I do not like science'.
The inverse of 'If I like math then I like science' is 'If I do not like math then I do not like science'.
Math
we use it in math. it is called inverse operation
negative of a number gives its additive inverse
Proof!
conditional and contrapositive + converse and inverse
She will fail math if she does not study hard.
If you do not like math, then you do not like science.
With a light switch, for example: switch off = Inverse of (switch on)