Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

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What does the symbol '>' mean in an inequality?

Back

Front

What does the symbol '<' mean in an inequality?

Back

Front

What does the symbol '≥' mean in an inequality?

Back

Front

What does the symbol '≤' mean in an inequality?

Back

Front

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

Back

A solid line indicates that points on the line are included in the solution set (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

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Back

Front

What does it mean if a point lies in the shaded area of a graph of an inequality?

Back

It means that the point satisfies the inequality and is part of the solution set.

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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.

Front

What is the solution set of an inequality?

Back

The solution set is the set of all points that satisfy the inequality, often represented graphically as a shaded region on a graph.