Answer to Question #8058 in Discrete Mathematics for Eric Watson

Question #8058

Let a,b, c be integers. Prove that if a|b and a|(b+c) then a|c.

Expert's answer

Let a=14, b=2 and c=5. Obviously, a|b cause 14/2 = 7 and a|(b+c) cause 14/(2+5) = 14/7 = 2. But a isn't divisible by c cause 14 isn't divisible by 5. So, the statement is incorrect.

Learn more about our help with Assignments: Discrete Math

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Use the sigma notation to indicate the sum of all odd integers from 3 through 7643 inclusive
2. The nine employes of the Ellington Dance Studio each earn $600 per week. A new employee is hired who
3. how can you prove that the size of complement of K r,s graph is (r 2) + (s 2)
4. Determine the value of n and M to show that (x2 + 8)(x + 1) is big-O(xn). (Find the value of the exp
5. exactely what is discrete math
6. If a < 1/2 and b < 1/2 then a + b < 1 Write the converse of this statement. Is the convers
7. if A is an ideal set, prove that the average size of an element of A is at most n/2, by using local