Question

PLEASE HELP AND WILL GIVE MEDAL!
1.Provide a counterexample that shows when the statement is false. Show all work to verify that the counterexample really makes the statement false.
For all integers a, b, and c, if a = b, then .

Answer 1

Counterexample: a=3, b=3, c=0

Proof:

1) Assume if a=b, then a/c = b/c.

2) Let a=3, b=3, c=0.

3) a=b since 3=3

4) a/c = b/c

5) Multiply both sides by c: (ac)/c = b

6) Substitute: [(3)(0)]/c = 3

7) 0/c = 3

8) 0/0 = 3

So, assuming a=b -> a/c = b/c leads to 0/0 = 3, which is false.

Answer 2

whoa, thank you so much!

Answer 3

Anytime.