Writing and Graphing Basic Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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 graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, and shade to the left.

Front

How do you graph the inequality x ≥ 2?

Back

To graph x ≥ 2, draw a number line, place a closed circle at 2, and shade to the right.

Front

What inequality represents 'Mike has at least $250'?

Back

The inequality is m ≥ 250.

Front

What inequality represents 'Zach can spend at most $100'?

Back

The inequality is z ≤ 100.

Front

What does the graph with a closed circle at 3 and shading to the right represent?

Back

It represents the inequality x ≥ 3.