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Algebra 1 : Graphing Inequalities

Study concepts, example questions & explanations for algebra 1, all algebra 1 resources, example questions, example question #1 : graphing inequalities.

Graph the compound inequality:

algebra 1 assignment draw a graph for each inequality answers

Which of the following graphs depicts the inequality:

algebra 1 assignment draw a graph for each inequality answers

When an inequality is written as less than or greater than, a dashed line is used. When an inequality is written as less than or equal to, or greater than or equal to, a solid line is used. Therefore, a dashed line should be used, eliminating two of the answer choices.

algebra 1 assignment draw a graph for each inequality answers

This statement is TRUE; the section containing the origin should be shaded.

Example Question #1 : Solving Inequalities

Solve the compound inequality and express answer in interval notation:

algebra 1 assignment draw a graph for each inequality answers

Example Question #61 : Linear Inequalities

Which inequality describes the graph?

algebra 1 assignment draw a graph for each inequality answers

First, we find the equation of the boundary line using the two intercepts. The slope is 

algebra 1 assignment draw a graph for each inequality answers

The slope-intercept form of the equation is therefore

algebra 1 assignment draw a graph for each inequality answers

Put this in standard form:

algebra 1 assignment draw a graph for each inequality answers

Example Question #2 : Graphing Inequalities

Refer to the above diagram. which of the following compound inequality statements has this set of points as its graph?

algebra 1 assignment draw a graph for each inequality answers

Which of the following inequalities is graphed above?

algebra 1 assignment draw a graph for each inequality answers

Example Question #3 : Graphing Inequalities

algebra 1 assignment draw a graph for each inequality answers

Example Question #6 : Graphing Inequalities

Screen shot 2015 08 05 at 11.24.41 am

The above graph depicts which of the following equations or inequalities?

algebra 1 assignment draw a graph for each inequality answers

Example Question #7 : Graphing Inequalities

Screen shot 2015 08 05 at 11.42.30 am

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