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?

Back

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

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 3 means x is less than or equal to 3.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

How do you graph the inequality x < 3?

Back

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

Front

How do you graph the inequality x > 3?

Back

You draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

Front

What does an open circle represent in graphing inequalities?

Back

An open circle represents that the number is not included in the solution. For example, x < 3 is graphed with an open circle at 3.

Front

What does a closed circle represent in graphing inequalities?

Back

A closed circle represents that the number is included in the solution. For example, x ≤ 3 is graphed with a closed circle at 3.

Front

What does the inequality y > -1 look like when graphed?

Back

It is graphed with an open circle at -1 and shading above the line.