8.B.5 Graphing Inequalities Systems

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

The point satisfies all inequalities in the system.

Front

Is the intersection of lines always a solution to a system of inequalities?

Back

Sometimes, as it depends on the inequalities.

Front

What does a solid line represent in graphing inequalities?

Back

It indicates that points on the line are included in the solution set.

Front

What does a dashed line represent in graphing inequalities?

Back

It indicates that points on the line are not included in the solution set.

Front

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

Back

Substitute the point's coordinates into the inequality and check if it holds true.

Front

What is the graphical representation of the inequality y < 2?

Back

The area below the line y = 2, not including the line itself.

Front

What is the graphical representation of the inequality y ≥ 3?

Back

The area above the line y = 3, including the line itself.

Front

How do you graph the system of inequalities x > 1 and y < 2?

Back

Graph the line x = 1 as a dashed line and the line y = 2 as a dashed line, then shade the appropriate regions.

Front

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

Back

It means the point is a solution to the system of inequalities.