Graphing and Writing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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 represent 'at least' in an inequality?

Back

'At least' is represented by the symbol ≥. For example, 'at least 30' is written as x ≥ 30.

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented by the symbol ≤. For example, 'no more than 20' is written as x ≤ 20.

Front

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

Back

The solution set includes all numbers less than 3.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a closed circle on 3 and shade to the right to indicate all numbers greater than or equal to 3.

Front

What does the inequality a < 6 represent?

Back

It represents that the value of a is less than 6.