JAMB and WAEC Mathematics questions: Inequalities

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

1. Question 21· Inequalities· WAEC

   Solve 3x − 5 < 7.

   • Ax < 4
   • Bx > 4
   • Cx < 2/3
   • Dx > 2

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   Explanation and discussion

2. Question 22· 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

3. Question 23· Inequalities· JAMB

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

   • A5
   • B3
   • C4
   • D7

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   Explanation and discussion

4. Question 24· Inequalities· WAEC

   Find the largest integer x that satisfies 7x − 4 < 31.

   • A6
   • B5
   • C3
   • D4

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   Explanation and discussion

5. Question 25· Inequalities· JAMB

   Solve 7 − 3x ≤ 1.

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

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   Explanation and discussion

6. Question 26· 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

7. Question 27· 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

8. Question 28· Inequalities· WAEC

   Find the range of x for which 1 < 2x − 3 < 7.

   • A1 < x < 5
   • B2 < x < 5
   • C2 < x < 7
   • D4 < x < 10

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   Explanation and discussion

9. Question 29· Inequalities· WAEC

   On a number line, a shaded circle at 2 with an arrow pointing to the right represents

   • Ax ≥ 2
   • Bx > 2
   • Cx ≤ 2
   • Dx < 2

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   Explanation and discussion

10. Question 30· 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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    Explanation and discussion

11. Question 31· 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

12. Question 32· Inequalities· WAEC

    Solve the inequality 2x − 3 > 7.

    • Ax > 5
    • Bx < 5
    • Cx > 2
    • Dx > 10

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    Explanation and discussion

13. Question 33· Inequalities· WAEC

    Find the range of values of x for which 3 − 2x ≤ 9.

    • Ax ≥ 3
    • Bx ≤ −3
    • Cx ≥ −3
    • Dx ≤ 3

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    Explanation and discussion

14. Question 34· 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

15. Question 35· Inequalities· JAMB

    Which of the following points lies in the region y > 2x?

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

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    Explanation and discussion

16. Question 36· Inequalities· JAMB

    Solve 2x² ≤ 8.

    • Ax ≥ 2 or x ≤ −2
    • Bx ≤ 2
    • C−2 ≤ x ≤ 2
    • D0 ≤ x ≤ 2

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    Explanation and discussion

17. Question 37· Inequalities· WAEC

    Solve 3 < 2x + 1 ≤ 9.

    • A1 ≤ x < 4
    • B2 < x ≤ 5
    • C1 < x ≤ 4
    • D1 < x < 4

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    Explanation and discussion

18. Question 38· Inequalities· JAMB

    Solve |2x + 1| ≤ 5.

    • A−6 ≤ x ≤ 4
    • B−2 ≤ x ≤ 3
    • Cx ≤ 2
    • D−3 ≤ x ≤ 2

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    Explanation and discussion

19. Question 39· Inequalities· WAEC

    Solve the inequality 5 − 3x < 14.

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

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    Explanation and discussion

20. Question 40· Inequalities· JAMB

    Solve (x + 3)/2 < (2x − 1)/3.

    • Ax < 11
    • Bx > 11
    • Cx > −11
    • Dx < 7

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    Explanation and discussion