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'.
negative of a number gives its additive inverse
Math
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
negative of a number gives its additive inverse
we use it in math. it is called inverse operation
Proof!
conditional and contrapositive + converse and inverse
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.
The inverse statement of "if I like math, then I like science" is "if I do not like math, then I do not like science." This involves negating both parts of the original conditional statement.
She will fail math if she does not study hard.