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, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, y < 3 means y is less than 3.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 4 means z is greater than or equal to 4.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you graph the inequality x > 2?

Back

To graph x > 2, draw a number line, place an open circle at 2, and shade to the right.

Front

How do you graph the inequality x < 5?

Back

To graph x < 5, draw a number line, place an open circle at 5, and shade to the left.

Front

What does the graph of x ≥ 3 look like?

Back

The graph of x ≥ 3 has a closed circle at 3 and shading to the right.

Front

What does the graph of c < 9 look like?

Back

The graph of c < 9 has an open circle at 9 and shading to the left.

Front

How do you represent the inequality r ≥ -6 on a number line?

Back

Draw a number line, place a closed circle at -6, and shade to the right.