Homework Graphing Inequalities and Solutions

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What is an inequality?

Back

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 a dotted line represent in graphing inequalities?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

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What does a solid line represent in graphing inequalities?

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A solid line indicates that the points on the line are included in the solution set of the inequality.

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How do you determine if a point is a solution to an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.

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What does it mean if a graph is shaded above the line?

Back

If a graph is shaded above the line, it indicates that the solutions to the inequality are all the points above that line.

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What does it mean if a graph is shaded below the line?

Back

If a graph is shaded below the line, it indicates that the solutions to the inequality are all the points below that line.

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How can you tell if an inequality is 'greater than' or 'less than' from a graph?

Back

If the region above the line is shaded, the inequality is 'greater than' (>) or 'greater than or equal to' (≥). If the region below the line is shaded, the inequality is 'less than' (<) or 'less than or equal to' (≤).

Front

What is the standard form of a linear inequality?

Back

Front

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

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