Graphing Inequalities

Front

What does it mean if a circle is colored in on a number line?

Back

It means that the endpoint is included in the inequality (e.g., x ≤ 5 or x ≥ 5).

Front

What does the inequality 5 ≥ x represent on a number line?

Back

It represents all numbers less than or equal to 5.

Front

What is the difference between x > 5 and x ≥ 5?

Back

x > 5 means 5 is not included, while x ≥ 5 means 5 is included.

Front

How do you represent the inequality x < -5 on a number line?

Back

An open circle at -5 and shading to the left.

Front

What does the inequality 2.5 ≤ x indicate?

Back

It indicates that x is greater than or equal to 2.5.

Front

What does an open circle on a number line signify?

Back

It signifies that the endpoint is not included in the inequality.

Front

How would you graph the inequality x ≥ 3?

Back

You would use a closed circle at 3 and shade to the right.

Front

What does the inequality x < 3 mean?

Back

It means that x can be any number less than 3.

Front

If a number line graph shows a closed circle at 5 and shading to the left, what is the inequality?

Back

The inequality is x ≤ 5.

Front

What does the inequality x > 3 represent on a number line?

Back

It represents all numbers greater than 3.