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Compound inequalities and integer solutions

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

Name

Date

Score/ 16

  1. Question 1

    How many integers x satisfy 14 < 5x + 4 ≤ 39?

    −1013456891027

    Answer

  2. Question 2

    How many integers x satisfy 2 ≤ 2x < 10?

    −2−1023467815

    Answer

  3. Question 3

    How many integers x satisfy 13 ≤ 5x + 3 < 38?

    −1013456891027

    Answer

  4. Question 4

    How many integers x satisfy 3 ≤ 5x + 3 < 23?

    −3−2−112356704

    Answer

  5. Question 5

    How many integers x satisfy 5 ≤ 2x + 1 ≤ 17?

    −101345679101128

    Answer

  6. Question 6

    How many integers x satisfy −7 ≤ 4x + 5 < 9?

    −6−5−4−2−10234−31

    Answer

  7. Question 7

    How many integers x satisfy 12 ≤ 4x + 4 ≤ 20?

    −101356724

    Answer

  8. Question 8

    How many integers x satisfy −18 < 5x + 2 < 2?

    −7−6−5−3−2−1123−40

    Answer

  9. Question 9

    How many integers x satisfy 4 < 3x − 2 < 13?

    −1013467825

    Answer

  10. Question 10

    How many integers x satisfy −1 ≤ 2x − 1 < 3?

    −3−2−1134502

    Answer

  11. Question 11

    How many integers x satisfy 2 < 3x − 4 ≤ 14?

    −10134578926

    Answer

  12. Question 12

    How many integers x satisfy −12 < 4x ≤ 0?

    −6−5−4−2−1123−30

    Answer

  13. Question 13

    How many integers x satisfy −4 < 4x − 4 < 4?

    −3−2−1134502

    Answer

  14. Question 14

    How many integers x satisfy 9 < 5x − 1 < 19?

    −101356724

    Answer

  15. Question 15

    How many integers x satisfy 5 < 3x + 2 < 14?

    −2−102356714

    Answer

  16. Question 16

    How many integers x satisfy 7 ≤ 4x − 1 ≤ 23?

    −10134578926

    Answer

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Answer key: Compound inequalities and integer solutions

  1. 1. 5

  2. 2. 4

  3. 3. 5

  4. 4. 4

  5. 5. 7

  6. 6. 4

  7. 7. 3

  8. 8. 3

  9. 9. 2

  10. 10. 2

  11. 11. 4

  12. 12. 3

  13. 13. 1

  14. 14. 1

  15. 15. 2

  16. 16. 5