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Solve 'or' compound inequalities

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.REI.B.3

Name

Date

Score/ 16

  1. Question 1

    Is x = 0 a solution of "x < −3 or x > 3"?

    −6−5−4−2−1012456−33
    • A. Yes
    • B. No

  2. Question 2

    Solve: x + 8 < 2 or 4x − 1 > −9

    • A. x < 2 or x > −8
    • B. x < −6 or x > −2
    • C. x > −6 or x < −2
    • D. −6 < x < −2

  3. Question 3

    Is x = −1 a solution of "x < −5 or x > −1"?

    −8−7−6−4−3−2012−5−1
    • A. Yes
    • B. No

  4. Question 4

    Solve: x − 6 < −11 or 2x + 3 > −1

    • A. x > −5 or x < −2
    • B. x < −5 or x > −2
    • C. −5 < x < −2
    • D. x < −11 or x > −4

  5. Question 5

    Is x = −4 a solution of "x < −4 or x > 1"?

    −7−6−5−3−2−10234−41
    • A. Yes
    • B. No

  6. Question 6

    Solve: x + 1 < −3 or 3x − 3 > −3

    • A. x < −3 or x > 0
    • B. x < −4 or x > 0
    • C. x > −4 or x < 0
    • D. −4 < x < 0

  7. Question 7

    Is x = −1 a solution of "x < −4 or x > −2"?

    −7−6−5−3−101−4−2
    • A. Yes
    • B. No

  8. Question 8

    Solve: x − 8 < −13 or 4x − 5 > 3

    • A. x < −13 or x > 8
    • B. −5 < x < 2
    • C. x < −5 or x > 2
    • D. x > −5 or x < 2

  9. Question 9

    Is x = 5 a solution of "x < −1 or x > 4"?

    −4−3−20123567−14
    • A. Yes
    • B. No

  10. Question 10

    Solve: x − 4 < −3 or 5x − 4 > 16

    • A. x < 1 or x > 4
    • B. x < −3 or x > 20
    • C. 1 < x < 4
    • D. x > 1 or x < 4

  11. Question 11

    Is x = 3 a solution of "x < −2 or x > 2"?

    −5−4−3−101345−22
    • A. Yes
    • B. No

  12. Question 12

    Solve: x − 4 < −9 or 3x − 2 > 4

    • A. x > −5 or x < 2
    • B. x < −9 or x > 6
    • C. −5 < x < 2
    • D. x < −5 or x > 2

  13. Question 13

    Is x = −3 a solution of "x < −3 or x > 3"?

    −6−5−4−2−1012456−33
    • A. Yes
    • B. No

  14. Question 14

    Solve: x − 2 < −3 or 2x − 6 > 0

    • A. −1 < x < 3
    • B. x > −1 or x < 3
    • C. x < −1 or x > 3
    • D. x < −3 or x > 6

  15. Question 15

    Is x = −6 a solution of "x < −5 or x > −3"?

    −8−7−6−4−2−10−5−3
    • A. Yes
    • B. No

  16. Question 16

    Solve: x + 8 < 2 or 3x − 1 > −1

    • A. x < 2 or x > 0
    • B. x < −6 or x > 0
    • C. −6 < x < 0
    • D. x > −6 or x < 0

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Answer key: Solve 'or' compound inequalities

  1. 1. B. No

  2. 2. B. x < −6 or x > −2

  3. 3. B. No

  4. 4. B. x < −5 or x > −2

  5. 5. B. No

  6. 6. B. x < −4 or x > 0

  7. 7. A. Yes

  8. 8. C. x < −5 or x > 2

  9. 9. A. Yes

  10. 10. A. x < 1 or x > 4

  11. 11. A. Yes

  12. 12. D. x < −5 or x > 2

  13. 13. B. No

  14. 14. C. x < −1 or x > 3

  15. 15. A. Yes

  16. 16. B. x < −6 or x > 0