Interval Notation Practice
Practice converting inequalities to interval notation, graphing intervals on number lines, and identifying intervals from graphs.
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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)
2. (-∞, 1]
3. (0, 3)∪[4, ∞)
Choose the correct interval notation for the given graph.
1. Which interval notation represents the graph?
(-2, 4]
[-2, 4)
(-2, 4)
[-2, 4]
2. Which interval notation represents the graph?
(-5, -1)
[-5, -1]
(-5, -1]
[-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.
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