Match the inequality in each exercise in Column I with its equiva...

Question

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II . x≥-6

Accepted Answer

Hey, everyone in this problem, we are asked to write the equivalent interval notation for the given inequality were given X is greater than or equal to negative three. So let's just go ahead and draw a number line. So we can figure out what this inequality is telling us. So we have zero two, negative two, negative three, negative four. Now we want X to be greater than or equal to negative three. So we can be equal to negative three. And in order to be greater than negative three, we need to be on the right hand side on our number line. Okay, we know that negative two is greater negative one, any value on the right hand side of our number line Is going to be greater than -3. And when we write our interval notation, it's very similar to drawing this number line. So we're going to put a square bracket around negative three to indicate that we can include the value of negative three. Okay, we have X greater than or equal to negative three. And so we can include negative three and this is going to go all the way up to the final value That is greater than -3, which is infinity. Okay. Now, we always use round brackets when we're dealing with infinity or negative infinity because it's not a precise value, we can't be raped at infinity. So we use a round bracket there and we've used a square bracket on negative three and we've just drawn out our interval that mimics this number line. And so if we look at our answer choices, this is going to correspond with answer choice. A, we have the interval from negative three to infinity where we use a square bracket to indicate that we're including negative three. That's it for this one. I hope this video helped see you guys in the next one.

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II . x≥-6

Key Concepts

Inequalities

Interval Notation

Graphing Inequalities

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