What is the inverse of the statement below?

Inverse of f ⇒ g statement is ¬ g ⇒ ¬f.

Step-by-step explanation:

Given f ⇒ g written equivalently f implies g or if f then g.

We have to write the inverse statement for this .

f ⇒ g is a conditional statement which says if  f is true then only g is true.

For inverse statement , we write its converse as :

if g is not true then f is also not true.

Mathematically written as ¬ g ⇒ ¬f.

For example:  “if John is married then he has a spouse”

here, f = john is married.

g = he has a spouse.

that is , f ⇒ g

For inverse , if john do not have a spouse then he is not married.

that is ¬ g ⇒ ¬f.

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