Graphing Linear Inequalities

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 (e.g., <, >, ≤, ≥).

Front

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

Back

The symbol '>' means 'greater than' in an inequality.

Front

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

Back

The symbol '<' means 'less than' in an inequality.

Front

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

Back

The symbol '≥' means 'greater than or equal to' in an inequality.

Front

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

Back

The symbol '≤' means 'less than or equal to' in an inequality.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the appropriate region based on the inequality.

Front

What type of line is used for 'y < x - 2'?

Back

A dashed line is used for 'y < x - 2' because the points on the line are not included in the solution set.

Front

What type of line is used for 'y ≤ x - 2'?

Back

A solid line is used for 'y ≤ x - 2' because the points on the line are included in the solution set.

Front

When graphing 'y ≥ 5', where do you shade?

Back

You shade above the line y = 5.

Front

When graphing 'y < x - 2', where do you shade?

Back

You shade below the line y = x - 2.