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

What inequality is represented in the given figure?

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Video Transcript

What inequality is represented in the given figure?

When representing inequalities on a number line, an open circle represents greater than or less than. A closed or colored-in circle, on the other hand, represents greater than or equal to or less than or equal to. In this question, the circle is colored in. Our circle is at three. And the arrow is pointing left. As there is no endpoint, we can have all the numbers to the left of three. As these numbers are all smaller than three, the inequality is 𝑥 is less than or equal to three. Had the circle not been colored in, we would have had 𝑥 is less than three.

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