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Compound inequalities and integer solutions

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

Name

Date

Score/ 16

  1. Question 1

    How many integers x satisfy 2 ≀ 3x βˆ’ 4 ≀ 11?

    βˆ’1013467825

    Answer

  2. Question 2

    How many integers x satisfy 4 < 5x βˆ’ 1 < 34?

    βˆ’2βˆ’1023456891017

    Answer

  3. Question 3

    How many integers x satisfy βˆ’5 ≀ 3x βˆ’ 5 < 10?

    βˆ’3βˆ’2βˆ’1123467805

    Answer

  4. Question 4

    How many integers x satisfy 5 < 5x βˆ’ 5 ≀ 25?

    βˆ’10134578926

    Answer

  5. Question 5

    How many integers x satisfy βˆ’7 < 2x + 3 ≀ βˆ’1?

    βˆ’8βˆ’7βˆ’6βˆ’4βˆ’3βˆ’101βˆ’5βˆ’2

    Answer

  6. Question 6

    How many integers x satisfy βˆ’6 < 2x ≀ βˆ’2?

    βˆ’6βˆ’5βˆ’4βˆ’2012βˆ’3βˆ’1

    Answer

  7. Question 7

    How many integers x satisfy 4 < 2x < 14?

    βˆ’1013456891027

    Answer

  8. Question 8

    How many integers x satisfy βˆ’14 ≀ 3x βˆ’ 2 ≀ 1?

    βˆ’7βˆ’6βˆ’5βˆ’3βˆ’2βˆ’10234βˆ’41

    Answer

  9. Question 9

    How many integers x satisfy 6 < 4x βˆ’ 2 < 26?

    βˆ’1013456891027

    Answer

  10. Question 10

    How many integers x satisfy βˆ’1 < 3x + 2 ≀ 11?

    βˆ’4βˆ’3βˆ’2012456βˆ’13

    Answer

  11. Question 11

    How many integers x satisfy βˆ’9 ≀ 3x + 3 < 0?

    βˆ’7βˆ’6βˆ’5βˆ’3βˆ’2012βˆ’4βˆ’1

    Answer

  12. Question 12

    How many integers x satisfy βˆ’18 ≀ 4x + 2 ≀ 2?

    βˆ’8βˆ’7βˆ’6βˆ’4βˆ’3βˆ’2βˆ’1123βˆ’50

    Answer

  13. Question 13

    How many integers x satisfy βˆ’2 ≀ 2x + 4 < 6?

    βˆ’6βˆ’5βˆ’4βˆ’2βˆ’10234βˆ’31

    Answer

  14. Question 14

    How many integers x satisfy 4 ≀ 4x < 16?

    βˆ’2βˆ’102356714

    Answer

  15. Question 15

    How many integers x satisfy 9 ≀ 4x + 5 < 29?

    βˆ’2βˆ’10234578916

    Answer

  16. Question 16

    How many integers x satisfy 7 ≀ 2x + 5 ≀ 13?

    βˆ’2βˆ’102356714

    Answer

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