Graphing 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 > 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 greater than 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 less than or equal to 2.

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 right.

Front

How do you graph the inequality x ≤ 5?

Back

To graph x ≤ 5, draw a number line, place a closed circle at 5, and shade to the left.

Front

What does the inequality b ≤ -2 represent on a number line?

Back

It represents all numbers less than or equal to -2, with a closed circle at -2 and shading to the left.

Front

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

Back

An open circle indicates that the number is not included (e.g., x > 3), while a closed circle indicates that the number is included (e.g., x ≤ 5).

Front

How do you write an inequality for a graph that shows all numbers greater than or equal to 5?

Back

The inequality is x ≥ 5.