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Interval Notation Practice

Practice converting inequalities to interval notation, graphing intervals on number lines, and identifying intervals from graphs.

Grade 10 Math AlgebraInterval Notation
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Includes

Fill in the Blanks2 Short AnswerMultiple Choice

Standards

CCSS.MATH.CONTENT.HSF.IF.A.1

Topics

AlgebraInterval NotationInequalitiesNumber Line
6 sections · Free to use · Printable
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Interval Notation Practice

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Read each question carefully and follow the instructions. Show all your work.

Convert the following inequalities into interval notation.

1. x > 5:  

2. x ≤ -2:  

3. -3 < x ≤ 7:  

4. x < 0 or x ≥ 4:  

Graph the following intervals on the number line provided.

1. [-4, 2)

-5-3-1135

2. (-∞, 1]

-5-3-1135

3. (0, 3)∪[4, ∞)

-5-3-1135

Choose the correct interval notation for the given graph.

-5-3-1135

1. Which interval notation represents the graph?

a

(-2, 4]

b

[-2, 4)

c

(-2, 4)

d

[-2, 4]

-5-3-1135

2. Which interval notation represents the graph?

a

(-5, -1)

b

[-5, -1]

c

(-5, -1]

d

[-5, -1)

A company's profit P (in thousands of dollars) for a new product is modeled by the inequality P > 10. Write this profit requirement in interval notation.

The temperature T (in degrees Celsius) in a controlled environment must be between 15°C and 25°C, inclusive. Write this temperature range in interval notation.