JAMB Mathematics questions: Inequalities

24 questions with answers and explanations. Tap an option to check yourself.

1. Question 1· Inequalities· JAMB

   Solve 4x + 3 > 2x − 5.

   • Ax < −4
   • Bx > −4
   • Cx > 4
   • Dx < 4

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   Explanation and discussion

2. Question 2· Inequalities· JAMB

   Solve 5 − 2x > 11.

   • Ax < −3
   • Bx > −3
   • Cx < 3
   • Dx > 3

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   Explanation and discussion

3. Question 3· Inequalities· JAMB

   What is the largest integer x that satisfies 5 − 2x > 1?

   • A0
   • B2
   • C1
   • D3

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   Explanation and discussion

4. Question 4· Inequalities· JAMB

   Solve x² − 9 ≥ 0.

   • Ax ≤ −3 or x ≥ 3
   • B−3 ≤ x ≤ 3
   • Cx ≥ 3 only
   • Dx ≤ 9

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   Explanation and discussion

5. Question 5· Inequalities· JAMB

   Solve (2x + 1)/3 − (x − 2)/4 ≥ 2.

   • Ax ≥ 34/5
   • Bx ≤ 14/5
   • Cx ≥ 2
   • Dx ≥ 14/5

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   Explanation and discussion

6. Question 6· Inequalities· JAMB

   How many integers satisfy −2 ≤ x < 3?

   • A3
   • B4
   • C6
   • D5

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   Explanation and discussion

7. Question 7· Inequalities· JAMB

   Which odd integer satisfies 3 ≤ x < 5?

   • A1
   • B5
   • C4
   • D3

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   Explanation and discussion

8. Question 8· Inequalities· JAMB

   Solve 3(x − 2) ≥ 2x + 1.

   • Ax ≥ 5
   • Bx ≤ 7
   • Cx ≥ 7
   • Dx ≤ −7

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   Explanation and discussion

9. Question 9· Inequalities· JAMB

   Solve −3 < 2x + 1 ≤ 7.

   • A−1 < x ≤ 4
   • B−2 < x ≤ 3
   • C−2 ≤ x < 3
   • D−4 < x ≤ 6

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   Explanation and discussion

10. Question 10· Inequalities· JAMB

    Find the greatest integer x for which 4x − 3 < 13.

    • A2
    • B4
    • C5
    • D3

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    Explanation and discussion

11. Question 11· Inequalities· JAMB

    Find the range of values of x for which x² − 4 < 0.

    • Ax < 2
    • Bx < −2 or x > 2
    • C−2 < x < 2
    • Dx > −2

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    Explanation and discussion

12. Question 12· Inequalities· JAMB

    Solve 3x − 7 < 5.

    • Ax > 4
    • Bx < 4
    • Cx < −4
    • Dx ≤ 4

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    Explanation and discussion

13. Question 13· Inequalities· JAMB

    Solve |x − 2| < 3.

    • Ax > −1
    • Bx < 5
    • C−1 < x < 5
    • D−5 < x < 1

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    Explanation and discussion

14. Question 14· Inequalities· JAMB

    Find the smallest integer x for which 2x + 5 > 12.

    • A5
    • B3
    • C4
    • D7

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    Explanation and discussion

15. Question 15· Inequalities· JAMB

    Solve 7 − 3x ≤ 1.

    • Ax ≥ 2
    • Bx ≤ 2
    • Cx ≥ −2
    • Dx ≤ −2

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    Explanation and discussion

16. Question 16· Inequalities· JAMB

    Which point lies in the region y > 2x − 1?

    • A(0, 0)
    • B(2, 1)
    • C(3, 4)
    • D(1, 0)

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    Explanation and discussion

17. Question 17· Inequalities· JAMB

    Find the range of values of x for which 2 − x ≥ 3x − 6.

    • Ax ≤ −2
    • Bx ≥ 2
    • Cx ≤ 2
    • Dx ≥ 1

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    Explanation and discussion

18. Question 18· Inequalities· JAMB

    Which point satisfies all of x + y ≤ 4, x ≥ 0 and y ≥ 0?

    • A(3, 2)
    • B(1, 2)
    • C(−1, 1)
    • D(5, 0)

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19. Question 19· Inequalities· JAMB

    Find the range of values of x for which x² − x − 6 > 0.

    • A−2 < x < 3
    • Bx < −2 or x > 3
    • Cx > 3 only
    • Dx < −3 or x > 2

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    Explanation and discussion

20. Question 20· Inequalities· JAMB

    For what values of x is the expression x² + 2x − 15 negative?

    • A−3 < x < 5
    • Bx < −5 or x > 3
    • C−5 < x < 3
    • Dx > 3

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    Explanation and discussion