Basic Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

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 ≥ 4 means x is either greater than 4 or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is either less than 2 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 10' is written as x ≥ 10.

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 15' is written as x ≤ 15.

Front

What is the graph representation of x > 3?

Back

The graph of x > 3 is represented with an open dot at 3 and a line extending to the right.

Front

What is the graph representation of x < -2?

Back

The graph of x < -2 is represented with an open dot at -2 and a line extending to the left.

Front

What is the graph representation of x ≥ 5?

Back

The graph of x ≥ 5 is represented with a closed dot at 5 and a line extending to the right.