Graphing Inequalities in Two Variables

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What is an inequality in two variables?

Back

An inequality in two variables is a mathematical statement that compares two expressions using inequality symbols (like <, >, ≤, or ≥) and involves two variables, typically x and y.

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

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The symbol '>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either greater than or equal to the value on the right side.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either less than or equal to the value on the right side.

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Front

What type of line is used for inequalities with < or >?

Back

A dashed or dotted line is used for inequalities with < or > to indicate that the points on the line are not included in the solution.

Front

What type of line is used for inequalities with ≤ or ≥?

Back

A solid line is used for inequalities with ≤ or ≥ to indicate that the points on the line are included in the solution.

Front

What is a solution to an inequality?

Back

A solution to an inequality is any ordered pair (x, y) that makes the inequality true when substituted into the inequality.