For each statement in the referenced exercise write the converse, inverse, and contrapositive. Indicate as best as you can which among the statement, its converse, its inverse, and its contrapositive are true and which are false. Give a counterexample for each that is false.ExerciseWrite a negation for each statement.Exercise 1? integers n, if n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

Solution In this question we have to write negation of the each statement integers if is divisible by 6 then is divisible by 2 and is divisible by 3. Step 1Contrapositive :integers if is not divisible by 2 or is not divisible by 3 then is not divisible by 6. Converse :integers if is divisible by 2 andis divisible by 3 then is divisible by 6. Inverse : integers if is not divisible by 6 then is not divisible by 2 or is not divisible by 3. The statement is true and its contrapositive, converse and inverse are also true.