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Algebra 2 - Interval Notation - Printable Math Worksheets class 11 - Wayground

Algebra 2 - Interval Notation

Tammy Pye

Created by Tammy Pye

10 questions

11th Grade

Math

Updated Oct 2026

Algebra 2 - Interval Notation is a Grade 11 mathematics worksheet with 10 multiple-choice questions focused on converting inequalities and number-line graphs into interval notation. Students identify included and excluded endpoints, choose open or closed endpoint symbols, interpret compound and compound-or inequalities, and represent unbounded intervals correctly using infinity. The questions also reinforce that infinity cannot be paired with a bracket and that closed dots represent ≤ or ≥. This worksheet helps students connect three representations of solution sets: inequalities, graphs, and interval notation. It includes items on bounded intervals such as [-7, 8), one-sided intervals such as (-∞, 8), and unions of intervals shown on graphs. Use it for guided practice, independent review, or a quick formative check in an Algebra II unit. This is a free printable worksheet with a complete answer key, making it easy to review endpoint and notation choices after students finish.

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WaygroundWorksheets

Algebra 2 - Interval Notation

Total questions: 10

Name
Class
Date
1.
Write the inequality in interval notation.

Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

2.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

3.

Write the following in interval notation

x < 8

a)

[8, ∞)

b)

(8, -∞)

c)

(-∞, 8]

d)

(-∞, 8)

4.
Look at the graph. Write the interval notation for the graph.

Look at the graph. Write the interval notation for the graph.

a)

(-2,5)

b)

(-∞,-2)⋃(5,∞)

c)

[-2,5]

d)

(-∞,-2]∪[5,∞)

5.
Can you use the symbols [ or ]
with infinity?
a)
Yes
b)
No
6.
What interval notation does the number line graph represent?

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

7.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
8.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
9.
What inequality is graphed?

What inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

10.
Write the interval notation for the graph?

Write the interval notation for the graph?

a)

[-3, 2)

b)

-3<x<2

c)

(-∞, -3] U (2, ∞)

d)

x > 2 or x < -3

WaygroundAnswer Key

Algebra 2 - Interval Notation

Total questions: 10

1.
a)

[-4, -1)

2.
b)

[-7, 8)

3.
d)

(-∞, 8)

4.
b)

(-∞,-2)⋃(5,∞)

5.
b) No
6.
c)

[-5, ∞)

7.
a) ≤, ≥ 
8.
b) Open
9.
b)

2 ≤ x ≤ 4

10.
c)

(-∞, -3] U (2, ∞)

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FAQs

What does this interval notation worksheet cover?

This Grade 11 worksheet builds skill in translating inequalities and number-line graphs into interval notation through 10 multiple-choice questions. Students practice selecting open or closed endpoints, writing unions for separated regions, and using parentheses with infinity so their notation matches the solution set.

How can I use this worksheet to teach interval notation?

First model one inequality-to-interval example by connecting ≤ or ≥ to a closed endpoint and < or > to an open endpoint. Then have students annotate the number-line graphs before choosing an interval, prompting them to check whether the graph shows a bounded interval, an unbounded interval, or two regions joined by a union. Use the questions about infinity and endpoint symbols as a short discussion before independent completion.

What mistakes should I watch for on this interval notation worksheet?

Students may reverse the endpoint symbols, use a bracket with infinity, or confuse an open circle with a closed dot. They may also read a two-region graph as one bounded interval instead of writing a union, or write the wrong direction for an unbounded interval such as x < 8. Check that each endpoint choice matches whether the boundary value is included.

How do I assign and grade this interval notation worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 10 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital quiz. The printable format can also support instruction in settings where schools are reducing screen time.

How can I differentiate this interval notation worksheet?

In the worksheet’s Advanced Settings, adjust font spacing or increase the font size to make the inequality choices, interval symbols, and graph-based questions easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the interval notation tasks.

Where can I find more free worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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