Linear Inequalities In Two Variables

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What is a linear inequality in two variables?

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Front

What does the graph of a linear inequality represent?

Back

The graph of a linear inequality represents all the solutions (ordered pairs) that satisfy the inequality. It divides the coordinate plane into two regions: one that satisfies the inequality and one that does not.

Tags

CCSS.HSA.REI.D.12

Front

What type of line is used for inequalities with < or >?

Back

A dashed or dotted line is used for inequalities with < or > to indicate that points on the line are not included in the solution set.

Tags

CCSS.HSA.REI.D.12

Front

What type of line is used for inequalities with ≤ or ≥?

Back

A solid line is used for inequalities with ≤ or ≥ to indicate that points on the line are included in the solution set.

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 (x, y) is a solution to a linear inequality, substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

What does the shaded region in a graph of a linear inequality indicate?

Back

The shaded region in a graph of a linear inequality indicates all the possible solutions that satisfy the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate plane, written in the form (x, y).

Tags

CCSS.HSA.CED.A.3

Front

Back

Tags

CCSS.HSA.REI.D.12