If A is less than b and c is any nonzero real number, is ac^2

Answer:
Always true.
Step-by-step explanation:
Two things to consider:
1. a is always less than b
2. c^2 is on both sides
This means that you can remove c^2 from both sides because it adds the same amount to both sides. When you get ride of c^2, you end up with a < b, which according to point 1, it is always true.
Double check:
a = 2 b = 6 c = 3
18 < 54 true
a = 5 b = 20 c = 2
20 < 80 true