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 here we are asked to write the equivalent interval notation for the given inequality, X is less than negative eight. So, to begin solving this problem, we first need to represent our given inequality on a number line so we can include any values. So I'll just have a zero in the middle and to the right will have positive five and positive 10. And then to the left we'll just have negative five and negative 10. And now looking at our given inequality, we have the value negative eight. Well we need to make sure we have this value on our number line so we can go ahead and plot it right after sorry, right before the negative 10. So we have negative eight and now we can just assess our given inequality. So we see that X is just less than negative eight. So this less than sign tells us we have a strict inequality and therefore we place a parentheses on the value negative eight. And now, since X is strictly less than negative eight, we go from negative eight to negative infinity. And now we need to note that infinity is always excluded and therefore is closed by a parentheses as well. And so now now with this information identified, we can write out our equivalent interval notation. So we see that X is within negative infinity which is again closed by a parentheses to negative eight, which is also closed by a parentheses. And this is our final answer here, which is answer choice. D Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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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