Graphing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates 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 that the value on the left is greater than the value on the right.

Front

What does the symbol '<' mean in a linear inequality?

Back

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

Front

What does the symbol '≥' mean in a linear inequality?

Back

The symbol '≥' means that the value on the left is greater than or equal to the value on the right.

Front

What does the symbol '≤' mean in a linear inequality?

Back

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

Front

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

Back

You use a dotted line to indicate that the points on the line are not included in the solution.

Front

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

Back

You use a solid line to indicate that the points on the line are included in the solution.

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.

Front

What does the shaded region in a graph of a linear inequality represent?

Back

The shaded region represents all the solutions to the inequality.

Front

How do you determine which side of the line 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.