Reasoning – Inequality Advanced (Either-Or, Mixed Cases & Tricks)
In advanced inequality, questions include mixed symbols and either-or cases. You need to carefully connect statements and check conclusions logically.
Mixed Inequality
Example:
A > B ≤ C < D
Read step-by-step:
A > B
B ≤ C
C < D
Conclusion: A > D ❌ (Cannot be determined)
Important Rule
- If direction is clear → Answer definite
- If direction changes → Check carefully
Either-Or Concept
When two conclusions are opposite, one must be true.
Example:
A > B
Conclusions:
1) A > B
2) A ≤ B
Answer: Either 1 or 2 is true ✔
When to Use Either-Or
- Two conclusions are opposite
- Cannot be true together
- No definite answer individually
Example Questions
Q1:
A > B ≥ C
→ Is A > C?
Answer: Yes ✔
Q2:
A ≥ B ≤ C
→ Is A > C?
Answer: Cannot be determined ❌
Practice Questions
Q1: A > B ≥ C → Is A > C?
Q2: A ≤ B ≥ C → Is A > C?
Q3: A > B, B ≤ C → Is A > C?
Answers
Q1: Yes
Q2: Cannot be determined
Q3: Cannot be determined
Quick Tricks
- Convert into chain step-by-step
- Do not assume missing links
- Check each conclusion independently
Final Tip
Practice mixed inequality daily. It is a scoring topic if you avoid assumptions and follow logic.
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