Graphing 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 in a linear inequality?

Back

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

Front

What does the symbol '≥' indicate in a linear inequality?

Back

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

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as if it were an equality. 2. Use a solid line for '≤' or '≥' and a dashed line for '<' or '>'. 3. Shade the region that satisfies the inequality.

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

Front

What does it mean if an inequality has 'or equal to' in it?

Back

It means that the boundary line is included in the solution set, which is represented by a solid line.

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What does it mean if an inequality does not have 'or equal to' in it?

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It means that the boundary line is not included in the solution set, which is represented by a dashed line.

Front

How can you tell which side of the line to shade when graphing a linear inequality?

Back

Choose a test point not on the line (usually (0,0) if it's not on the line). Substitute it into the inequality. If the inequality holds true, shade the side containing the test point.

Front

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

Back

Front

How do you convert a linear equation to slope-intercept form?

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