Graphing Inequalities

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, 6 > 3 means 6 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 5 means 2 is less than 5.

Front

What does the symbol '≥' mean?

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?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 7 means y is less than or equal to 7.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle on 3, and shade to the right.

Front

How do you graph the inequality x < 2?

Back

To graph x < 2, draw a number line, place an open circle on 2, and shade to the left.

Front

What does the graph of x ≥ 5 look like?

Back

The graph of x ≥ 5 has a closed circle on 5 and shades to the right.

Front

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

Back

The graph of x ≤ -1 has a closed circle on -1 and shades to the left.

Front

If a graph has an open circle at 4, what inequality does it represent?

Back

It represents the inequality x < 4 or x > 4, depending on the direction of shading.