Systems of Linear Inequalities Practice

Front

What type of line is used when graphing an inequality with the symbols < or >?

Back

A dotted line is used.

Front

What type of line is used when graphing an inequality with the symbols ≤ or ≥?

Back

A solid line is used.

Front

What does the inequality y > 2x - 4 represent in a graph?

Back

It represents the region above the line y = 2x - 4.

Front

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

Back

Substitute the point into each inequality; if it satisfies all inequalities, it is a solution.

Front

What is the graphical representation of the solution set for a system of linear inequalities?

Back

The solution set is represented by the overlapping shaded regions of the inequalities.

Front

What does it mean if a point lies on a solid line in a graph of an inequality?

Back

The point is included in the solution set for the inequality.

Front

What does it mean if a point lies on a dotted line in a graph of an inequality?

Back

The point is not included in the solution set for the inequality.

Front

How can you tell which side of the line to shade when graphing an inequality?

Back

Choose a test point not on the line; if it satisfies the inequality, shade that side.

Front

What is the significance of the intersection of two shaded regions in a graph of inequalities?

Back

It represents the solution set for the system of inequalities.

Front

What is a system of linear inequalities?

Back

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