Graphing Inequalities on Number Line

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, 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 represent the inequality x > 3 on a number line?

Back

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

Front

How do you represent the inequality x < -1 on a number line?

Back

Draw an open dot at -1 and shade to the left to indicate all numbers less than -1.

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 ≥).

Front

How would you write 'x is less than or equal to 5' in inequality form?

Back

x ≤ 5.

Front

What does the graph of a ≥ 11 look like?

Back

It has a closed dot at 11 and shading to the right.