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BANKERS TUTORIAL · SBI · STUDY ARTICLE

Inequality chains and definite conclusions

Trace greater-than and less-than relations through a chain, preserve strict and non-strict distinctions and identify when two quantities cannot be compared from the supplied ordering alone.

01 / 03Learn with a clear direction

2 min read Original learning material · Prepared 14 Oct 2026

This Bankers Tutorial article is independent educational material. Examples are illustrative, and changing rules or examination requirements should be checked at the official source.

01 / UNDERSTANDING

Understand the idea

A chain diagram makes the limit of an ordering visible. It shows where a path supports a comparison and where the available information stops short of establishing a relationship.

02 / UNDERSTANDING

The concept in context

An inequality chain links quantities only when the directions support a valid path. If A is greater than B and B is at least C, A is greater than C. If both A and C exceed B, their relation to each other is not fixed: either could be larger.

Strictness matters. A greater-than-or-equal chain may allow equality, while a strict step can rule it out for an otherwise consistent directed comparison. Test proposed conclusions with sample values when uncertain. A single consistent counterexample disproves a claim that a relation must always follow from the premises.

03 / UNDERSTANDING

A worked learning case

Original educational case. From P > Q ≥ R, P > R follows because P exceeds something no smaller than R. From P > Q < R, however, P and R cannot be ordered. The original examples P=5, Q=2, R=3 and P=3, Q=2, R=5 satisfy the second chain but reverse the P–R comparison.

ORIGINAL EDUCATIONAL PRACTICE

Try it before you check.

Original practice: Given A ≥ B and B > C, must A > C follow?

Show the answer and reasoning

Yes.

B is strictly greater than C, and A cannot be smaller than B. Even if A equals B, A still exceeds C; if A is larger than B, it also exceeds C. Thus every permitted case supports A > C. The strict step between B and C prevents equality between A and C.

Two traps to watch for.

  • Comparing quantities across a direction change without justification.
  • Discarding the equality possibility in a non-strict relation.

YOUR TOPIC-SPECIFIC LEARNING MAP

Turn understanding into practice

  1. Draw arrows from larger to smaller.

  2. Keep equality markers visible.

  3. Search for a counterexample before claiming certainty.

Explain the idea, apply it to a new situation, then check what changed in your reasoning.

BANKERS TUTORIAL · SOURCE NOTES

Keep the source alongside your notes.

Official links provide subject context and authoritative reference material. This guide’s explanation, scenario and question are original Bankers Tutorial learning content.

  1. sbi.bank.in https://sbi.bank.in/web/careers/current-openings
  2. sbi.bank.in https://sbi.bank.in/webfiles/uploads/files_2627/09/SBI_JA-Customer_Support_Sales-IH_Pre-2026-27_Eng.pdf

For SBI preparation, check the current official notice before relying on changing dates, rules or examination requirements.

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