Systems of Inequalities

Front

What is a system of inequalities?

Back

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

Front

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

Back

It means that there is no set of values 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 countless sets of values that satisfy 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

What type of line is used to represent the inequality 'y ≤ mx + b'?

Back

A solid line, indicating that points on the line are included in the solution.

Front

What type of line is used to represent the inequality 'y < mx + b'?

Back

A dashed line, indicating that points on the line are not included in the solution.

Front

What does the inequality 'y > 3' represent on a graph?

Back

The region above the horizontal line y = 3.

Front

What does the inequality 'x < 5' represent on a graph?

Back

The region to the left of the vertical line x = 5.

Front

How do you graph the inequality 'y < -2x + 4'?

Back

Graph the line y = -2x + 4 as dashed and shade below it.

Front

What is the solution set of the system: y < 2x + 1 and y > -x + 3?

Back

The region where the shaded areas of both inequalities overlap.