Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

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

Back

The symbol '>' means 'greater than'. For example, y > 2 means y is greater than 2.

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, y ≥ 1 means y is greater than or equal to 1.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 3 means x is less than or equal to 3.

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.

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.

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (for 'greater than' or 'less than' inequalities).

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (for 'greater than or equal to' or 'less than or equal to' inequalities).

Front

What is the solution set of the inequality y < 3?

Back

The solution set of y < 3 includes all points below the horizontal line y = 3, not including the line itself.