Graphing & Writing 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 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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 on a number line?

Back

Draw a number line, place a closed circle at 3, and shade to the right to indicate all numbers greater than or equal to 3.

Front

What does it mean if a number is a solution to an inequality?

Back

A number is a solution to an inequality if it makes the inequality true when substituted into it.

Front

Is -1 a solution to the inequality y ≤ -3?

Back

No, -1 is not a solution because -1 is greater than -3.

Front

Is 1 a solution to the inequality z > -3?

Back

Yes, 1 is a solution because 1 is greater than -3.