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, or not equal to the other.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

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 x > 2?

Back

You draw a number line, place an open dot at 2, and shade to the right to indicate all numbers greater than 2.

Front

How do you graph the inequality x < 4?

Back

You draw a number line, place an open dot at 4, and shade to the left to indicate all numbers less than 4.

Front

What is the difference between an open dot and a closed dot on a graph?

Back

An open dot indicates that the number is not included (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).

Front

What are two numbers that could satisfy the inequality x < 6?

Back

Examples include 5 and 0.

Front

What are two numbers that could satisfy the inequality x ≥ 2?

Back

Examples include 2 and 3.