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 (>, <, ≥, ≤).

Front

What does the symbol '>' indicate in a linear inequality?

Back

The symbol '>' indicates that the value on the left is greater than 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 does the symbol '≥' indicate in a linear inequality?

Back

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

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line as if it were an equation. 2. Use a solid line for ≥ or ≤ and a dashed line for > or <. 3. Shade the region that satisfies the inequality.

Front

What is the significance of the boundary line in a linear inequality?

Back

The boundary line represents the values that make the inequality true. Points on the line are included if the inequality is ≥ or ≤.

Front

Back

A dashed line is used because the inequality is strict (>) and does not include the boundary.

Front

When graphing the inequality @@y ge -rac{5}{4}x + 3@@, what type of line is used?

Back

A solid line is used because the inequality includes the boundary (≥).

Front

What does shading above the line indicate in a linear inequality?

Back

Shading above the line indicates that the solutions to the inequality are greater than the values on the line.