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 such as <, >, ≤, or ≥.

Front

What does the symbol < mean in a linear inequality?

Back

The symbol < means 'less than' and indicates that the values of the variable are below a certain threshold.

Front

What does the symbol > mean in a linear inequality?

Back

The symbol > means 'greater than' and indicates that the values of the variable are above a certain threshold.

Front

What does the symbol ≤ mean in a linear inequality?

Back

The symbol ≤ means 'less than or equal to' and indicates that the values of the variable can be below or equal to a certain threshold.

Front

What does the symbol ≥ mean in a linear inequality?

Back

The symbol ≥ means 'greater than or equal to' and indicates that the values of the variable can be above or equal to a certain threshold.

Front

How do you graph a linear inequality with a < or > symbol?

Back

You use a dashed line to represent the boundary and shade the area that satisfies the inequality.

Front

How do you graph a linear inequality with a ≤ or ≥ symbol?

Back

You use a solid line to represent the boundary and shade the area that satisfies the inequality.

Front

What is the significance of shading in a graph of a linear inequality?

Back

Shading indicates the region of the graph where the solutions to the inequality are located.

Front

How can you determine which side to shade when graphing a linear inequality?

Back

You can test a point not on the line (like (0,0)) to see if it satisfies the inequality; if it does, shade that side.

Front

What is the first step in graphing a linear inequality?

Back

The first step is to graph the corresponding linear equation as if it were an equality.