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 inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x is any number less than or equal to 7.

Front

How do you graph the inequality a ≥ 11?

Back

You place a closed dot on 11 and shade the line to the right, indicating all numbers greater than or equal to 11.

Front

How do you graph the inequality a < 11?

Back

You place an open dot on 11 and shade the line to the left, indicating all numbers less than 11.

Front

What type of circle is used for the inequality x ≤ 3?

Back

A closed circle is used for x ≤ 3, indicating that 3 is included in the solution.

Front

What type of circle is used for the inequality x < 3?

Back

An open circle is used for x < 3, indicating that 3 is not included in the solution.

Front

Give two examples of numbers that satisfy the inequality x < 8.

Back

Examples include 7.9 and 0.8.