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 difference between a solid line and a dashed line in graphing inequalities?

Back

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

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality y > -2x - 3?

Back

Graph the line y = -2x - 3 with a dashed line, then shade the area above the line.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean to shade above a line in a graph?

Back

Shading above a line indicates that the solutions to the inequality are all the points above that line.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean to shade below a line in a graph?

Back

Shading below a line indicates that the solutions to the inequality are all the points below that line.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if an inequality is represented by a graph?

Back

Check the line type (solid or dashed) and the shaded area to see if they match the inequality's conditions.

Tags

CCSS.HSA.REI.D.12