Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you graph a linear inequality?

Back

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

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a boundary line is dashed?

Back

A dashed boundary line indicates that points on the line are not included in the solution set.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a boundary line is solid?

Back

A solid boundary line indicates that points on the line are included in the solution set.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine which side of the line to shade when graphing an inequality?

Back

Choose a test point not on the line (usually (0,0)). If the inequality is true for that point, shade the side containing the point.

Tags

CCSS.HSA.REI.D.12