Plotting inequalities on a number line
Draw open or closed endpoints and shade the correct part of a number line.
- Use an open circle for
or . Use a closed circle for or . - Greater values go to the right; smaller values go to the left.
- For a bounded interval, join the two endpoints and check each endpoint separately.
Example 1
Include the endpoint
Represent
Example 2
A bounded interval
Represent
Your turn
Represent the inequality on a number line.
Check answer
Open circle at 4; shade to the left.
Represent the inequality on a number line.
Check answer
Closed circle at −2; shade to the right.
Represent the inequality on a number line.
Check answer
Closed circle at 3; shade to the left.
Represent the inequality on a number line.
Check answer
Open circle at −2; closed circle at 4; join them.
Represent the inequality on a number line.
Check answer
Closed circle at −3; open circle at 2; join them.
Represent the inequality on a number line.
Open circle at 4; shade to the left.
Represent the inequality on a number line.
Closed circle at −2; shade to the right.
Represent the inequality on a number line.
Closed circle at 3; shade to the left.
Represent the inequality on a number line.
Open circle at −2; closed circle at 4; join them.
Represent the inequality on a number line.
Closed circle at −3; open circle at 2; join them.