graphing systems of Inequalites

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are solved together.

Front

How do you graph a system of inequalities?

Back

1. Graph each inequality on the same coordinate plane. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the appropriate region for each inequality. 4. The solution is where the shaded regions overlap.

Front

What does the symbol '>' represent in inequalities?

Back

It means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '≥' represent in inequalities?

Back

It means 'greater than or equal to' and indicates that the value on the left is larger than or equal to the value on the right.

Front

What does the symbol '<' represent in inequalities?

Back

It means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '≤' represent in inequalities?

Back

It means 'less than or equal to' and indicates that the value on the left is smaller than or equal to the value on the right.

Front

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

Back

Substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

Front

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

Back

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

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 that points on the line are not included ( < or >).

Front

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

Back

Graph each inequality separately on the same coordinate plane.