Lesson 1.02h

1.02h Set and interval notation Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02h, Set and interval notation: 20 multiple choice questions for the OCR Maths (H240), Unit 2: Algebra and Functions, written with Revision Ninja.

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The 20 questions

  1. What is the interval notation for {x : x > 3}?

    • (3, infinity)
    • (-infinity, 3)
    • [3, infinity)
    • (-2, 4)

  2. Which is the interval notation for {x : -2 <= x <= 4}?

    • [-2, 4]
    • (-2, 4)
    • (-4, 2]
    • [-2, 4)

  3. In interval notation, which bracket shows that an endpoint is excluded?

    • Square bracket
    • Angle bracket
    • Round bracket
    • Curly bracket

  4. Which set is {x : x <= 2} union {x : x > 5}?

    • (-infinity, 5) U (2, infinity)
    • (-infinity, 2) U (5, infinity)
    • (-infinity, 2] U [5, infinity)
    • (-infinity, 2] U (5, infinity)

  5. What is {x : x > 3} intersect {x : -2 <= x <= 4}?

    • [-2, 3)
    • (-2, 3]
    • [3, 4]
    • (3, 4]

  6. What is {x : x < 1} intersect {x : x > 2}?

    • All real numbers
    • x = 1 only
    • (1, 2)
    • The empty set

  7. Which set solves x^2 - 4 > 0?

    • (-2, 2)
    • (-infinity, -2) U (2, infinity)
    • [-2, 2]
    • (-infinity, -2] U [2, infinity)

  8. Which set solves (x - 1)(x - 3) <= 0?

    • [1, 3]
    • (1, 3)
    • [-1, 3]
    • (-infinity, 1] U [3, infinity)

  9. Which expression states -2 <= x <= 4 using 'and'?

    • x < -2 or x > 4
    • x <= -2 and x >= 4
    • x >= -2 and x <= 4
    • x >= -2 or x <= 4

  10. Which interval notation describes {x : x <= -1} union {x : x >= 3}?

    • (-infinity, -1) U (3, infinity)
    • (-infinity, -1] U [3, infinity)
    • (-infinity, 3] U [-1, infinity)
    • [-1, 3]

  11. Which set solves 2x + 1 > 5?

    • [2, infinity)
    • (-infinity, 2)
    • (2, infinity)
    • (3, infinity)

  12. What is the domain of sqrt(x - 1) for real outputs?

    • [0, infinity)
    • [1, infinity)
    • (1, infinity)
    • (-infinity, 1]

  13. Which set describes all x for which 1/(x - 2) is defined?

    • (-infinity, 2] U [2, infinity)
    • [2, infinity)
    • (-infinity, 2) U (2, infinity)
    • (-infinity, 2)

  14. Which set solves x^2 >= 9 for real x?

    • (-infinity, -3] U [3, infinity)
    • (-infinity, 3] U [-3, infinity)
    • (-3, 3)
    • [-3, 3]

  15. What is the intersection of (-infinity, 4) and [1, infinity)?

    • (1, 4]
    • [1, 4]
    • (-infinity, 1]
    • [1, 4)

  16. What is the union of [0, 2) and (1, 3]?

    • [0, 3)
    • [0, 3]
    • (1, 2)
    • [0, 1]

  17. Solve (x + 2)/(x - 1) > 0.

    • (-infinity, 1) U (2, infinity)
    • (-infinity, -2) U (1, infinity)
    • (-2, 1)
    • (-infinity, -2] U (1, infinity)

  18. Let A = {x : 0 <= x <= 5} and B = {x : x > 3}. What is A minus B?

    • [0, 3)
    • [0, 5]
    • [0, 3]
    • (3, 5]

  19. Which interval equals {x : x^2 < 4}?

    • (-infinity, 2)
    • (-4, 4)
    • (-2, 2)
    • [-2, 2]

  20. Which set is {x : -2 <= x <= 4} union {x : x > 3}?

    • (-2, infinity)
    • (3, 4]
    • [-2, infinity)
    • [-2, 4]

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