Graphing Linear Inequality

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

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed line (for < or >) or a solid line (for ≤ or ≥). Then, shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

'>' means that the values of the variable are greater than the value on the other side of the inequality.

Tags

CCSS.6.EE.B.8

Front

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

Back

'<'' means that the values of the variable are less than the value on the other side of the inequality.

Tags

CCSS.6.EE.B.8

Front

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

Back

'≥' means that the values of the variable are greater than or equal to the value on the other side of the inequality.

Tags

CCSS.6.EE.B.8

Front

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

Back

'≤' means that the values of the variable are less than or equal to the value on the other side of the inequality.

Tags

CCSS.6.EE.B.8

Front

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

Back

Choose a test point not on the line (commonly (0,0)). If the inequality holds true for that point, shade the side of the line that includes the test point.

Tags

CCSS.HSA.REI.D.12

Front

What is the slope-intercept form of a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the slope in a linear inequality?

Back

The slope indicates the steepness of the line and the direction it goes (upward or downward) as you move from left to right.

Front

What is the y-intercept in a linear inequality?

Back

Tags

CCSS.HSA.REI.D.12