Graphing Linear Inequality

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What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

Tags

CCSS.HSA.REI.D.12

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

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The symbol '>' indicates that the values on the left side of the inequality are greater than the values on the right side.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≥' indicates that the values on the left side of the inequality are greater than or equal to the values on the right side.

Tags

CCSS.HSA.REI.D.12

Front

How do you graph a linear inequality?

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1. Graph the corresponding linear equation as a dashed (for < or >) or solid line (for ≤ or ≥). 2. Shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

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 <).

Tags

CCSS.HSA.REI.D.12

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 containing the test point.

Tags

CCSS.HSA.REI.D.12

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Back

No, because when substituting (1, 2) into the inequality, it does not satisfy the condition.

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The ordered pair (-4, 4) is NOT a solution because it does not satisfy the inequality.

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Back

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality, represented graphically as a shaded region.

Tags

CCSS.HSA.REI.D.12