Review Linear Inequalities and systems of inequalities

Front

What is a linear inequality?

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Tags

CCSS.7.EE.B.4B

Front

How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Use a dashed line for < or > and a solid line for ≤ or ≥. Then shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What does the solution set of a system of inequalities represent?

Back

The solution set of a system of inequalities represents all the points that satisfy all inequalities in the system simultaneously.

Tags

CCSS.HSA.REI.D.12

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary line, while non-strict inequalities (≤, ≥) include the boundary line.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is in the solution set of an inequality?

Back

To determine if a point is in the solution set, substitute the point's coordinates into the inequality. If the inequality holds true, the point is in the solution set.

Front

What is the standard form of a linear inequality?

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Front

How do you write a linear inequality from a word problem?

Back

Identify the quantities involved, determine the relationship (greater than, less than, etc.), and express it using variables and an inequality symbol.

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Back

It represents a situation where the total revenue from selling x glasses of hot chocolate and y glasses of hot apple cider must be at least $240.

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Back

Tags

CCSS.HSA.REI.D.12

Front

How can you solve a system of inequalities graphically?

Back

To solve a system of inequalities graphically, graph each inequality on the same coordinate plane and identify the region where the shaded areas overlap.

Tags

CCSS.HSA.REI.D.12