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 '>' indicate in a linear inequality?

Back

The symbol '>' indicates that the value on the left side of the inequality is greater than the value on the right side.

Front

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

Back

The symbol '<' indicates that the value on the left side of the inequality is less than the value on the right side.

Front

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

Back

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

Front

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

Back

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

Front

How do you determine if a boundary line is dashed in a graph of a linear inequality?

Back

A boundary line is dashed if the inequality does not include 'or equal to' (i.e., it uses < or >).

Front

How do you determine if a boundary line is solid in a graph of a linear inequality?

Back

A boundary line is solid if the inequality includes 'or equal to' (i.e., it uses ≤ or ≥).

Front

What is the graphical representation of the inequality y > 3x - 2?

Back

The graphical representation is a region above the line y = 3x - 2, with a dashed line indicating that points on the line are not included.

Front

What is the graphical representation of the inequality y < 2x + 3?

Back

The graphical representation is a region below the line y = 2x + 3, with a dashed line indicating that points on the line are not included.

Front

What is the graphical representation of the inequality y ≥ -3/2x + 3?

Back

The graphical representation is a region above the line y = -3/2x + 3, with a solid line indicating that points on the line are included.