Graphing Systems of Inequalities

Front

What does a dotted line represent when graphing an inequality?

Back

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

Front

What does a solid line represent when graphing an inequality?

Back

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

Front

Back

The solution includes all points above and on the line defined by the equation.

Front

Back

The solution includes all points above and on the line defined by the equation.

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 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

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

Back

It means that there are infinitely many points that satisfy all inequalities in the system.

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Back

Front

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

Back

Convert each inequality into slope-intercept form (y = mx + b) if necessary.

Front

What is the significance of the shaded region in a graph of inequalities?

Back

The shaded region represents all possible solutions to the inequality.