Inequalities: Solutions and Graphing

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 inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you graph the inequality b ≤ -2?

Back

To graph b ≤ -2, draw a number line, place a closed circle on -2, and shade to the left.

Front

How do you graph the inequality k < 3?

Back

To graph k < 3, draw a number line, place an open circle on 3, and shade to the left.

Front

What type of circle is used for '≤' and '≥' when graphing?

Back

A closed circle is used for '≤' and '≥' to indicate that the number is included in the solution.

Front

What type of circle is used for '<' and '>' when graphing?

Back

An open circle is used for '<' and '>' to indicate that the number is not included in the solution.

Front

Is -5 a solution for the inequality k > -6?

Back

Yes, -5 is a solution because -5 is greater than -6.