Graph Linear Inequalities In Two Variables

Front

What does a dotted line represent in a graph of an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set, which occurs when the inequality symbol is < or >.

Front

What does a solid line represent in a graph of an inequality?

Back

A solid line indicates that the points on the line are included in the solution set, which occurs when the inequality symbol is ≤ or ≥.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the general form of a linear inequality in two variables?

Back

The general form is Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are constants.

Front

What is the first step in graphing a linear inequality?

Back

First, graph the corresponding linear equation as if it were an equality (replace the inequality sign with an equal sign).

Front

What does shading above the line indicate in a graph of an inequality?

Back

Shading above the line indicates that the solutions to the inequality are greater than the line (y > mx + b).

Front

What does shading below the line indicate in a graph of an inequality?

Back

Shading below the line indicates that the solutions to the inequality are less than the line (y < mx + b).

Front

If the inequality is y < 3x + 2, what type of line will be used to graph it?

Back

A dotted line will be used because the inequality symbol is <.

Front

If the inequality is y ≥ -x + 4, what type of line will be used to graph it?

Back

A solid line will be used because the inequality symbol is ≥.

Front

What is the significance of the inequality symbol in graphing?

Back

The inequality symbol determines whether the line is solid or dotted and indicates the direction of shading.