SAT II Math I : Graphing Linear Functions

Study concepts, example questions & explanations for SAT II Math I

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Example Questions

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Example Question #12 : Graphing Inequalities

Which of the following graphs correctly depicts the graph of the inequality  

Possible Answers:

None of the graphs.

Question_8_incorrect_2

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Correct answer:

Question_8_correct

Explanation:

Let's start by looking at the given equation:

The inequality is written in slope-intercept form; therefore, the slope is equal to  and the y-intercept is equal to .

All of the graphs depict a line with slope of  and y-intercept . Next, we need to decide if we should shade above or below the line. To do this, we can determine if the statement is true using the origin . If the origin satisfies the inequality, we will know to shade below the line. Substitute the values into the given equation and solve.

Because this statement is true, the origin must be included in the shaded region, so we shade below the line.

Finally, a statement that is "less than" or "greater than" requires a dashed line in the graph. On the other hand, those that are "greater than or equal to" or "less than or equal to" require a solid line. We will select the graph with shading below a dashed line.

Question_8_correct

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