Practice Graphing System of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables, representing a region on a graph.

Front

How do you graph the inequality y < x - 2?

Back

Graph the line y = x - 2 as a dashed line and shade below it.

Front

What does shading above a line indicate in graphing inequalities?

Back

It indicates that the solutions are greater than the line's equation.

Front

What does shading below a line indicate in graphing inequalities?

Back

It indicates that the solutions are less than the line's equation.

Front

What type of line is used for y ≤ mx + b?

Back

A solid line is used because the inequality includes equal to (≤).

Front

What type of line is used for y < mx + b?

Back

A dashed line is used because the inequality does not include equal to (<).

Front

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

Back

Substitute the point's coordinates into each inequality; if all inequalities are satisfied, it is a solution.

Front

What does it mean if a system of inequalities has no solution?

Back

It means that the shaded regions of the inequalities do not overlap.

Front

What does it mean if a system of inequalities has infinite solutions?

Back

It means that the inequalities overlap completely, creating a region with unlimited points.

Front

How do you identify the solution set of a system of inequalities?

Back

The solution set is the region where the shaded areas of all inequalities intersect.