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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.6.EE.B.8

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 >).

Tags

CCSS.HSA.REI.D.12

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 ≥).

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12