Graphing Systems of Inequalities A1PB

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What does the shaded region in a graph of inequalities represent?

Back

The shaded region represents all the possible solutions to the system of inequalities.

Tags

CCSS.HSA.REI.D.12

Front

What is the significance of the boundary line in a graph of inequalities?

Back

The boundary line indicates the limits of the solution set. If the inequality is strict (e.g., < or >), the line is dashed; if it is inclusive (e.g., ≤ or ≥), the line is solid.

Tags

CCSS.HSA.REI.D.12

Front

Back

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 set (inclusive inequality), while a dashed line indicates that points on the line are not included (strict inequality).

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a point lies in the intersection of two shaded regions?

Back

If a point lies in the intersection of two shaded regions, it satisfies both inequalities and is a solution to the system.

Tags

CCSS.HSA.REI.D.12

Front

What is the first step in solving a system of inequalities by graphing?

Back

The first step is to graph each inequality on the same coordinate plane.

Tags

CCSS.HSA.REI.D.12

Front

What is a feasible region in the context of systems of inequalities?

Back

The feasible region is the area on the graph where all the shaded regions overlap, representing all possible solutions to the system.

Tags

CCSS.HSA.REI.D.12