7.1 Linear Inequalities: Solid or Dashed? and Shading

Front

What type of line is used for the inequality symbol < or >?

Back

The line will be dashed.

Front

What type of line is used for the inequality symbol ≤ or ≥?

Back

The line will be solid.

Front

If the inequality symbol is < or >, where do you shade?

Back

You shade below the line.

Front

If the inequality symbol is ≤ or ≥, where do you shade?

Back

You shade above the line.

Front

What does a dashed line indicate in a linear inequality?

Back

It indicates that the points on the line are not included in the solution.

Front

What does a solid line indicate in a linear inequality?

Back

It indicates that the points on the line are included in the solution.

Front

For the inequality y < 2x + 3, what type of line and shading is used?

Back

The line would be dashed with shading below.

Front

For the inequality y ≥ 2x + 3, what type of line and shading is used?

Back

The line would be solid with shading above.

Front

What is the general form of a linear inequality?

Back

It can be expressed as y < mx + b, y > mx + b, y ≤ mx + b, or y ≥ mx + b.

Front

How do you determine where to shade for inequalities?

Back

Test a point not on the line; if it satisfies the inequality, shade that side.