Solution Found!
For the statement, determine whether the statement is true
Chapter 4, Problem 19E(choose chapter or problem)
QUESTION: For each statement in 19–31, determine whether the statement is true or false. Prove the statement directly from the definitions if it is true, and give a counterexample if it is false.For all integers a, b, and c, if a divides b then a divides bc.
Questions & Answers
QUESTION: For each statement in 19–31, determine whether the statement is true or false. Prove the statement directly from the definitions if it is true, and give a counterexample if it is false.For all integers a, b, and c, if a divides b then a divides bc.
ANSWER:Solution :
Step 1 :
In this problem we have to find the given statement is true or false.
For all a,b and c if
By the definition of division