Solution Found!
For each statement in the referenced exercise
Chapter 3, Problem 31E(choose chapter or problem)
In 26–33, 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.
Exercise 21
\(\forall\) integers n, if n is divisible by 6, then n is divisible by 2 and n is divisible by 3.
Questions & Answers
QUESTION:
In 26–33, 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.
Exercise 21
\(\forall\) integers n, if n is divisible by 6, then n is divisible by 2 and n is divisible by 3.
ANSWER:Step 1 of 2
In this question, we have to write the negation of each statement
\(\forall\) integers n, if n is divisible by 6 then n is divisible by 2 and n is divisible by 3.