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'. For example, x > 3 means x is greater than 3.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '<' means 'less than'. For example, y < 5 means y is less than 5.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 4 means y is less than or equal to 4.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality y > 2?

Back

To graph y > 2, draw a dashed horizontal line at y = 2 and shade the area above the line.

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality y ≤ -x + 1?

Back

To graph y ≤ -x + 1, draw a solid line for y = -x + 1 and shade the area below the line.

Tags

CCSS.HSA.REI.D.12

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a graph is shaded above the line?

Back

If a graph is shaded above the line, it indicates that the solutions to the inequality are greater than the line's equation.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a graph is shaded below the line?

Back

If a graph is shaded below the line, it indicates that the solutions to the inequality are less than the line's equation.

Tags

CCSS.HSA.REI.D.12