At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Find the center of the interval.
i have no idea how to do this
Did you do what I said?
whats the center 4?
Why would that be the center? It's not +2, it's -2. You MUST pay better attention.
-2-6 = -8
That's the sum. That's not the average or center of two values.
Find the center of the interval. You can just walk ir off if you like. -2 6 One step each way -1 5 0 4 1 3 2 2 <== There it is!
how will i express that with absolute value?
How far is the center from the two endpoints?
Why would it be an interval? We need an absolute distance. How far is 2 from 6? How far is 2 from -2?
4 and 2
The difficulty with what I am dragging you through is that we are BUILDING the solution. You cannot see the end from where we are. I hope to show you a PROCESS, not an answer. Where is the center of the interval? (6 - (-2))/2 = 2 How far is each endpoint from the center? 6-2 = 4 and -2 - (-2) = 4 This is how absolute values work. It is sometimes called "magnitude" or "absolute distance" or "norm" and maybe a few other things. In any case, it is a positive number referring to how far apart things are. Our task here is the describe the set of all numbers that are less than 4 from 2. How do we do that?
You're just guessing and you failed to use an absolute value. 4 is the ONLY distance that matters. 2 is the ONLY center of the interval that matters. Give it another go. Hint: It will have only one inequality.
Now THAT was a good effort. |x-2| < 4 Read this, everything that is less than 4 away from 2.
Thanks alot for the help.. I really appreciate it!