Praxis Elementary Education Exam— Graphing Solutions

By Carla C. Kirkland, Chan Cleveland

The Math section of the Praxis Elementary Education exam may contain a question that requires you to graph the solution to an inequality on a number line.

To begin, you put a dot on the number in the solution. If the symbol is > or <, then “or equal to” is not part of the solution, so you use a hollow dot to show that the number is just the boundary of a range of numbers and is not part of it.


“or equal to” is part of the solution, so you put a darkened in dot on the number to show that it is included in the range of numbers. Suppose you want to graph the solution to the inequality x > 4. Put a hollow dot on 4 on the number line, and then shade the number line in the direction that includes all numbers greater than 4, as shown here.

The solution to an inequality.

Practice question

  1. Given the following graph,
    which of the following inequalities has a solution that is represented by the graph?


Answer and explanation

  1. The correct answer is Choice (B).
    The graph represents
    which is the solution to Choice (B) and none of the other choices. A solid filled in circle on a number line represents including the corresponding number. Since
    means “greater than or equal to,” the 3 is included. Thus, the interior of the circle is darkened. The line is darkened to the right of 3 because the graph represents 3 and all numbers that are greater.