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 in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ -2 means x is any number less than or equal to -2.

Front

How do you graph the inequality b ≤ -2?

Back

To graph b ≤ -2, draw a solid line at -2 and shade to the left, indicating all values less than or equal to -2.

Front

How do you graph the inequality x < 6?

Back

To graph x < 6, draw a dashed line at 6 and shade to the left, indicating all values less than 6.

Front

What does the graph of k < 3 look like?

Back

The graph of k < 3 has a dashed line at 3 and shades to the left, showing all values less than 3.

Front

What inequality does the number line graph with a solid line at -4 and shading to the left represent?

Back

The graph represents the inequality x ≤ -4.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the endpoint is included (≤ or ≥), while a dashed line indicates that the endpoint is not included (< or >).