Graphing Linear Inequalities

Front

What symbols do we use for DOTTED lines in graphing linear inequalities?

Back

Dotted lines are used for inequalities represented by the symbols < and >.

Front

What symbols do we use for SHADE DOWN lines in graphing linear inequalities?

Back

Shade down lines are represented by the symbols < and ≤.

Front

What symbols do we use for SOLID lines in graphing linear inequalities?

Back

Solid lines are represented by the symbols ≤ and ≥.

Front

What symbols do we use for SHADE UP lines in graphing linear inequalities?

Back

Shade up lines are represented by the symbols > and ≥.

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid or dotted line. 2. Shade the appropriate region based on the inequality.

Front

What does it mean if a line is solid in a graph of a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set (≤ or ≥).

Front

What does it mean if a line is dotted in a graph of a linear inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set (< or >).

Front

How do you determine which side of the line to shade in a linear inequality?

Back

Choose a test point not on the line (usually (0,0)). If it satisfies the inequality, shade the side containing that point.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality (e.g., y = mx + b), while a linear inequality shows a range of values (e.g., y < mx + b).