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 greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you graph the inequality x > 2 on a number line?

Back

Draw an open circle at 2 and shade to the right to indicate all numbers greater than 2.

Front

How do you graph the inequality x < -1 on a number line?

Back

Draw an open circle at -1 and shade to the left to indicate all numbers less than -1.

Front

What does the inequality x ≥ 20 represent in a real-world context?

Back

It represents that a person must have at least 20 units of something, such as minutes of reading.

Front

How do you represent the inequality 'you must be at least 48 inches to ride'?

Back

This can be represented as x ≥ 48, meaning x is greater than or equal to 48 inches.

Front

What is the solution set for the inequality x < 4?

Back

The solution set includes all numbers less than 4.