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 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'. For example, y < 5 means y is less than 5.

Front

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

Back

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

Front

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

Back

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

Front

How do you represent the inequality n ≥ -2 on a number line?

Back

You would use a closed circle at -2 and shade to the right, indicating all numbers greater than or equal to -2.

Front

How do you represent the inequality k < 3 on a number line?

Back

You would use an open circle at 3 and shade to the left, indicating all numbers less than 3.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included (e.g., <), while a closed circle indicates that the number is included (e.g., ≤).

Front

What does the inequality x > 2 or x ≤ -3 mean?

Back

It means that x can be any number greater than 2 or any number less than or equal to -3.

Front

How do you graph the inequality b < 6?

Back

You would use an open circle at 6 and shade to the left, indicating all numbers less than 6.