Graphing Inequalities on a Number Line

Front

What symbol is used for a closed dot when graphing inequalities?

Back

≤ (less than or equal to) and ≥ (greater than or equal to)

Front

What symbol is used for an open dot when graphing inequalities?

Back

< (less than) and > (greater than)

Front

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

Back

Graph a closed dot at -5 and shade to the right.

Front

What does an open circle indicate on a number line?

Back

The value is not included in the solution set.

Front

What does a closed circle indicate on a number line?

Back

The value is included in the solution set.

Front

Which inequality is represented by an open dot at 3?

Back

x < 3 or x > 3.

Front

How would you graph the inequality k < 3?

Back

Use an open dot at 3 and shade to the left.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do.

Front

What does the inequality x < 3 mean in terms of a number line?

Back

All numbers less than 3 are included in the solution set.

Front

How do you graph the inequality x ≤ 2?

Back

Graph a closed dot at 2 and shade to the left.