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 ≤ indicate in a linear inequality?

Back

The symbol ≤ indicates that the value on the left is less than or equal to the value on the right.

Front

What does the symbol < indicate in a linear inequality?

Back

The symbol < indicates that the value on the left is less than the value on the right.

Front

What type of line is used to graph inequalities with ≤ or ≥?

Back

A solid line is used to graph inequalities with ≤ or ≥.

Front

What type of line is used to graph inequalities with < or >?

Back

A dashed line is used to graph inequalities with < or >.

Front

Back

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality.

Front

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

Back

Choose a test point not on the line (commonly (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

Front

Back

It has a solid line representing the boundary and the area above the line is shaded.