In Exercises 107–110, use graphs to find each set. (-2,1] ∩ [-1,3...

Question

In Exercises 107–110, use graphs to find each set. (-2,1] ∩ [-1,3)

Accepted Answer

use the number lines to demonstrate the set 125. And the intercession through the eight. So I'll draw a number line. I'll see if we go from 0 to 9 here just so we can get all of our numbers in both sets here. So I'll go from 0 to 9. Our first one we have 125. Now the one has a brown bracket. So I'll use a open circle for that. The five has a has a square bracket. So we use a closed circle and we'll just connect those circles Now for 2-8. I will use the blue two. Yeah, they're closed and eight we have an open and we'll connect those with a line. Now the intersection symbol which is just the middle that tells us we only want the part where the team lines overlap each other. If you look here We can see that they overlap from 2-5. Her answer will be from 2-5. Now we're gonna look at what circles we have at those points. Well two we have a closed circle which means we have a square bracket. five. We also have a closed circle. We have another square bracket. You draw a number line again. So it's from 0-6. This time This means that we have a close circle at two. Both circle of five and those are connected by a line. We look at our answers the answer to this problem. It's actually answer D Where both numbers have closed circles. Okay, I hope to help you solve the problem. Thank you for watching. Goodbye.

In Exercises 107–110, use graphs to find each set. (-2,1] ∩ [-1,3)

Key Concepts

Interval Notation

Graphing Intervals

Set Intersection

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