In Exercises 1–14, express each interval in set-builder notation ...

Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line.

(2, ∞)

Accepted Answer

grab the following interval on the number line and write it and set builder notation. We're going from 8 to infinity. So we set the orientation. We start with the currently breaks and their variable X. Bar. And now we want our condition. You notice there are intervals from 8 to infinity. So you've done X. Since we're starting at eight going to infinity. We want a greater then and eight close the curly brace. You want to check if this is greater than or greater than equal to. We notice here are eight has a round bracket because you have a round bracket, we're gonna leave this as greater than if you're a square bracket. We would do greater than equal to. In any case let's look at our possible number lines. Now we're saying X is greater than eight. So you want a number line that's pointing to the right that knocks out answers see already because C. Is not pointing to the right Everyone X. Square than eight. Look at the number line A X is Square than eight. However, we're using a square bracket. We did mention that as a brown bracket. So A is actually incorrect. B is also incorrect by the graph Because the line right here starts at eight and has a square bracket on the right. That means our answer turns out to be answered. D for eight has a round bracket and it's going to the right towards infinity. Okay, I hope to help you solve the problem. Thank you for watching. Goodbye

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In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (2, ∞)