Algebra 1 : How to graph a two-step inequality

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1 : How To Graph A Two Step Inequality

Which graph depicts the following inequality?

Possible Answers:

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Question_12_correct

No real solution.

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Question_12_incorrect_1

Correct answer:

Question_12_correct

Explanation:

Let's put the inequality in slope-intercept form to make it easier to graph:

The inequality is now in slope-intercept form. Graph a line with slope  and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin  is good choice. Determine if the following statement is true:

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

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