Graphing Inequalities on the Coordinate Plane

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What does the solution set of an inequality represent?

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The solution set of an inequality represents all the ordered pairs (x, y) that satisfy the inequality.

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What is the difference between a solid line and a dashed line in graphing inequalities?

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What is the slope-intercept form of a linear equation?

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What does the term 'boundary line' refer to in graphing inequalities?

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The boundary line is the line that represents the equation of the inequality. It divides the coordinate plane into two regions.

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How can you determine which side of the boundary line to shade when graphing an inequality?

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You can test a point not on the boundary line (like (0,0)) in the inequality. If the inequality holds true, shade the side containing that point.

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