Systems of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables. Solutions are the values that satisfy all inequalities in the system.

Front

Back

Front

Back

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 (≥ or ≤), while a dashed line indicates they are not (> or <).

Front

What does shading above a line indicate in a graph of an inequality?

Back

It indicates that the solutions to the inequality are all the points above the line.

Front

Back

Front

Back

The solution is the region where the shaded areas of both inequalities overlap.

Front

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

Back

It means that there is no point that satisfies all inequalities in the system.

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, it is a solution.

Front

Back