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Video: Identifying the Linear Inequality Represented on a Given Number Line

Bethani Gasparine

What inequality is represented on the given figure?

01:22

Video Transcript

What inequality is represented on the given figure?

Here, we have a number line and we have an open circle at four and an arrow going to the right, which is on the numbers greater than four — so larger than four. So the open circle means four is not one of our possible answers. So four can’t be part of our answer.

However, numbers like four and a half, five, five point three, six, six point eight- essentially any number that’s greater than four is what we’re trying to represent. So we would need the inequality 𝑥 is greater than four because that is what is represented in this figure — all numbers greater than four.

And we know that it’s not just numbers five and six and numbers between that because this arrow means it’s gonna keep going, so all numbers greater than four. Therefore, the inequality that is represented on this figure is 𝑥 is greater than four. And we just chose 𝑥; we could have used a different variable. But 𝑥 is just a common variable that we use. So 𝑥 is greater than four.