Graphs of Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' indicate when graphing?

Back

The symbol '≤' indicates that the line is included in the solution set, so a solid line is used when graphing.

Front

What does the symbol '>' indicate when graphing?

Back

The symbol '>' indicates that the line is not included in the solution set, so a broken (dashed) line is used when graphing.

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

Front

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

Back

Choose a test point not on the line (commonly (0,0)). Substitute it into the inequality. If the inequality holds true, shade the side of the line that includes the test point.

Front

What is the standard form of a linear inequality?

Back

Front

What does the graph of the inequality @@y eq rac{1}{4}x + 2@@ look like?

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Front

How do you write the inequality for a graph that has a solid line and shades below it?

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