Bank Exam Speed Maths
Page 18: Inequalities (Shortcut Methods)
1. Basic Symbols
> → Greater than
< → Less than
≥ → Greater than or equal to
≤ → Less than or equal to
= → Equal to
2. Basic Concept
Inequalities compare values using symbols.
Solve step-by-step and combine statements logically.
3. Chain Rule
If A > B and B > C → A > C
Example:
A > B, B > C → A > C ✔
A > B, B > C → A > C ✔
4. Opposite Rule
If signs are opposite, no definite relation
Example:
A > B, B < C → No conclusion between A and C
A > B, B < C → No conclusion between A and C
5. Equality Case
If A = B and B = C → A = C
Example:
A = B, B = C → A = C ✔
A = B, B = C → A = C ✔
6. Mixed Inequality
Combine multiple statements carefully
Example:
A ≥ B, B > C → A > C ✔
A ≥ B, B > C → A > C ✔
7. Important Tips
• Follow left-to-right comparison
• Use chain rule wherever possible
• Avoid assumptions without clear relation
8. Practice Questions
1. A > B, B > C → Relation between A and C?
2. A < B, B > C → Relation between A and C?
3. A = B, B > C → Relation between A and C?
4. A ≥ B, B ≥ C → Relation between A and C?
5. A > B, B = C → Relation between A and C?
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