Question

Write the converse, inverse, contrapositive of the following statement.

If I do not work hard, then I do not prosper.

Answer 1

Let p : I do not work hard.
q : I do not prosper.

∴ The given statement is p → q.

Its converse is q → p.
If I do not prosper then I do not work hard.

Its inverse is ~p → ~q.
If I work hard then I prosper.

Its contrapositive is ~q → ~p.
If I prosper then I work hard.