Graphing Inequalities Coordinate Plane

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 '>' indicate in an inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

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

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Front

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

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Front

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

Back

The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.

Front

Back

You shade above the line because the inequality is greater than.

Front

When graphing the inequality @@y ge -rac{5}{4}x + 3@@, what type of line is used?

Back

A solid line is used because the inequality includes 'greater than or equal to'.

Front

Back

A dashed line is used because the inequality does not include 'less than or equal to'.

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 >).

Front

How do you determine which direction to shade when graphing an inequality?

Back

If the inequality is 'greater than' or 'greater than or equal to', shade above the line. If it is 'less than' or 'less than or equal to', shade below the line.