Write and Graph 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 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'. For example, x > 3 means x is greater than 3.

Front

What does the symbol ≤ mean in an inequality?

Back

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

Front

What does the symbol ≥ mean in an inequality?

Back

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

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left to indicate all numbers less than 3.

Front

How do you graph the inequality x ≥ 4?

Back

You draw a number line, place a closed dot at 4, and shade to the right to indicate all numbers greater than or equal to 4.

Front

What is the inequality for 'The temperature must be less than 20 degrees'?

Back

The inequality is T < 20.

Front

What is the inequality for 'The score must be at least 50 points'?

Back

The inequality is S ≥ 50.

Front

What type of dot is used when graphing x ≤ 5?

Back

A closed dot is used when graphing x ≤ 5 to indicate that 5 is included.