Unit 2: Functions

Topic 2.15: Inequalities (HL only) Questions

Practice 12 exam-style questions for IB Math AA SL Topic 2.15. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1Solve2 marks
2026
Solve x² > 4.
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21 mark
2026
An upward parabola y = (x − 1)(x − 4) is below the x-axis for:
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31 mark
2026
Solving 1/(x − 2) > 0 gives:
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41 mark
2026
To solve f(x) ≥ g(x) on a GDC (Paper 2), you:
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51 mark
2026
Why must you keep x = 1 OUT of the solution of (x+2)/(x−1) ≥ 0?
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6Show that1 mark
2026
Show that does not satisfy the inequality.
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71 mark
2026
The critical points for (x − 3)/(x + 1) ≤ 0 are:
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8Solve3 marks
2026
Solve (x + 3)/(x − 1) ≤ 0.
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9Solve3 marks
2026
Solve 2x + 1 ≥ x² − 2 (give exact bounds).
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10Solve3 marks
2026
Solve x³ ≥ x graphically or analytically.
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11Solve3 marks
2026
Solve (x − 2)/(x + 1) > 1.
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12Solve3 marks
2026
Solve 1/x < 3 for x > 0.
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