Graphing Inequalities (one-variable)

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 'greater than'. For example, x > 2 means x is greater than 2.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 2 means x is less than 2.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x 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, x ≤ 2 means x is less than or equal to 2.

Front

How do you graph the inequality x > 2 on a number line?

Back

Draw an open dot at 2 and shade to the right to indicate all numbers greater than 2.

Front

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

Back

Draw an open dot 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 closed dot at -3 and shade to the right to indicate all numbers greater than or equal to -3.

Front

How do you graph the inequality x ≤ 2 on a number line?

Back

Draw a closed dot at 2 and shade to the left to indicate all numbers less than or equal to 2.

Front

What is the difference between an open dot and a closed dot on a number line?

Back

An open dot indicates that the number is not included (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).