00:01
Hello, today we're doing some proofs for inequalities.
00:04
In this problem, we have a is less than b.
00:06
And then we're trying to prove that we're trying to prove this right here.
00:14
So in order to do that, we'll just use some concept thinking, and then we'll plug in real numbers to show that this is true.
00:22
So our first step, so we know that a is less than b, and we also know that to find the average, which is our mythic mean, the average equation for that using a and b is a plus b over 2.
00:41
And so that looks very similar to this equation right here.
00:47
So that's all well and good, but we need to prove this inequality.
00:51
So since a is less than b, it makes sense that the average would be greater than a and less than b.
01:00
But if we plug in some numbers, we can go ahead and see this.
01:03
Let's say, for example, we'll just do two different examples...
