Systems of Inequalities

Front

What is a system of inequalities?

Back

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

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and find the overlapping region.

Front

What does the shaded area represent in a graph of inequalities?

Back

The shaded area represents all the possible solutions to the system of inequalities.

Front

What is the difference between 'y < mx + b' and 'y ≤ mx + b'?

Back

'y < mx + b' means the line is not included, while 'y ≤ mx + b' includes the line.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Front

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

Back

Substitute the point's coordinates into each inequality and check if all are true.

Front

What is the significance of the boundary line in a graph of inequalities?

Back

The boundary line separates the solution region from the non-solution region.

Front

What does 'y > 3x' represent graphically?

Back

It represents the area above the line y = 3x, not including the line itself.

Front

What is the solution set of a system of inequalities?

Back

The solution set is the region where all inequalities overlap on the graph.

Front

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

Back

It means there is no region where all inequalities overlap.