Graphing Inequalities — Quiz

Question 3 • Grade 7 Mathematics

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement?

Answer

Image with description A number line ranges from 50 to 58 by ones. A closed circle is on 55. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from 50 to 58 by ones. An open circle is on 54. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from 50 to 58 by ones. A closed circle is on 54. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from 50 to 58 by ones. An open circle is on 53. A ray is drawn from that circle pointing to the right.

Explanation

“At least 54 inches” means a height of 54 inches or greater, so the inequality is h ≥ 54. The graph needs a closed circle at 54 to include that height and a ray pointing right for greater heights. Choice C shows this.

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