Graphing Inequalities — Quiz

Question 7 • Grade 7 Mathematics

How do the number line graphs of the solutions sets of negative 23 is greater than x and x is greater than or equal to negative 23 differ?

Answer

One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but they use arrows that point in the same direction.

They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles.

They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles.

One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.

Explanation

The inequality −23 > x is equivalent to x < −23, so its graph has an open circle at −23 and a ray pointing left. The inequality x ≥ −23 has a closed circle at −23 and a ray pointing right. The graphs have the same endpoint but opposite ray directions, with one open circle and one closed circle, which matches choice D.

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