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Choose any point and substitute its coordinate into the inequality. If the inequality remains TRUE then the region containing the inequality is the one that you want. If it is false, then you want the region on the other side of the line.

You can choose any point in the plane and substitute its coordinates into the inequality. The origin is usually the simplest.

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What does a dashed line represent on a graph?

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What is the definition of graph of an inequality?

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To write a compound inequality from a graph, first identify the critical points where the graph changes direction or has boundaries. Determine the intervals represented by the shaded regions—if they are open or closed. Then, express the relationship between these intervals using "and" (for overlapping regions) or "or" (for separate regions) to form the compound inequality. Finally, use inequality symbols to represent the boundaries of each interval accurately.


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