Graphing Inequalities on a Number Line

Front

What does the inequality k < 3 represent on a number line?

Back

All numbers less than 3, represented with an open circle at 3 and a line extending to the left.

Front

When do you use a closed dot on a number line graph?

Back

When graphing inequalities with ≤ or ≥.

Front

What does an open circle indicate on a number line?

Back

The value at that point is not included in the solution set.

Front

How do you graph the inequality x < -4 on a number line?

Back

Use an open circle at -4 and shade to the left.

Front

What does the inequality x ≤ 4 mean?

Back

All numbers less than or equal to 4, represented with a closed circle at 4 and a line extending to the left.

Front

What is the difference between x < 3 and x ≤ 3?

Back

x < 3 does not include 3 (open circle), while x ≤ 3 includes 3 (closed circle).

Front

How would you represent the inequality x ≥ -4 on a number line?

Back

Use a closed circle at -4 and shade to the right.

Front

What does the inequality x < 4 indicate about the number 4?

Back

The number 4 is not included in the solution set.

Front

What type of circle is used for the inequality x < 3?

Back

An open circle.

Front

If a number line graph shows a closed circle at 2 and shading to the right, what inequality does it represent?

Back

x ≥ 2.