Front

What are linear inequalities?

Back

Linear inequalities are mathematical expressions that show the relationship between two variables using inequality signs (>, <, ≥, ≤) instead of an equal sign.

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What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all ordered pairs (x, y) that satisfy the inequality.

Tags

CCSS.HSA.REI.D.12

Front

Are the points on the boundary line part of the solution set for a linear inequality?

Back

Yes, they are part of the solution set if the inequality is inclusive (≥ or ≤).

Tags

CCSS.HSA.REI.D.12

Front

What does the graph of a linear inequality represent?

Back

The graph of a linear inequality represents all the points that satisfy the inequality, typically shaded on one side of the boundary line.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is a solution to a linear inequality?

Back

To determine if a point is a solution, substitute the x and y values into the inequality and check if the statement is true.

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

Back

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

Tags

CCSS.HSA.REI.D.12

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What is a system of linear inequalities?

Back

A system of linear inequalities is a set of two or more linear inequalities with the same variables.

Tags

CCSS.8.EE.C.8B

Front

How do you graph a system of linear inequalities?

Back

To graph a system of linear inequalities, graph each inequality on the same coordinate plane and identify the region where all inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a point lies in the shaded region of a graph of a linear inequality?

Back

If a point lies in the shaded region, it means that the point is a solution to the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What is the significance of the boundary line in a linear inequality?

Back

The boundary line separates the solution set from the non-solution set and indicates the values that satisfy the inequality.

Tags

CCSS.HSA.REI.D.12