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.[- 3, ∞)

Accepted Answer

Graph the following interval on the number line and write it and set build notation. Our interval is negative six to infinity, the right to set the or notation. So set, the orientation uses the curly where you have a variable X and our condition. So we look at our intervals from negative six to infinity. So we want X as a variable, we want everything greater than six until we get to infinity. So we say greater than six. I'm sorry, that's negative six feather. Now, one other thing to note is that our negative six has a square bracket. So we actually want a greater than, or equal suicide instead of just the greater thing because we have the square bracket. Now, if you look at our possible answers, we can determine our number line. We know we're going greater. The ambushes are gonna be pointing to the right set. Knocks out C and D, we grade equals two, which means we have a square bracket on our number line. If you look here a has a round bracket, that means the answer to this problem turns out to be answer B or X squared equal to negative six. Ok. 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.[- 3, ∞)

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