Solving 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 represent an inequality graphically?

Back

By shading the region that satisfies the inequality on a coordinate plane.

Front

What does the symbol '>' indicate in an inequality?

Back

It indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '<' indicate in an inequality?

Back

It indicates that the value on the left is less than the value on the right.

Front

What does the symbol '≥' indicate in an inequality?

Back

It indicates that the value on the left is greater than or equal to the value on the right.

Front

What does the symbol '≤' indicate in an inequality?

Back

It indicates that the value on the left is less than or equal to the value on the right.

Front

When graphing the inequality y < 3, what type of line is used?

Back

A dotted line is used because the inequality does not include equality.

Front

When graphing the inequality y ≥ 3, what type of line is used?

Back

A solid line is used because the inequality includes equality.

Front

What is the solution set of a system of inequalities?

Back

The region where the shaded areas of all inequalities overlap.

Front

Can a system of inequalities have no solution?

Back

Yes, if the inequalities represent parallel lines that do not intersect.