Graphing Inequalities on Number Lines

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?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

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

Back

Draw a number line, place an open circle on 3, and shade to the right to indicate all numbers greater than 3.

Front

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

Back

Draw a number line, place an open circle on 2, and shade to the left to indicate all numbers less than 2.

Front

What does the graph of x ≥ 4 look like?

Back

Draw a number line, place a closed circle on 4, and shade to the right to indicate all numbers greater than or equal to 4.

Front

What does the graph of x ≤ -1 look like?

Back

Draw a number line, place a closed circle on -1, and shade to the left to indicate all numbers less than or equal to -1.

Front

If a graph shows an open circle at 5 and shading to the left, what inequality does it represent?

Back

The graph represents the inequality x < 5.