What's the best way to master Inequality Reasoning Problems quickly?

Master Inequality Reasoning Problems by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Inequality Reasoning

Inequality Reasoning problems present statements comparing variables using inequality symbols (>, <, ≥, ≤). You must determine which conclusion must be true based on the given relationships, using transitive property and logical deduction. These problems test understanding of inequality properties and logical reasoning.

10Worksheets

200+Practice Questions

HardDifficulty

2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks

Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Inequality Reasoning

Prerequisites

Understanding of inequality symbols (>, <, ≥, ≤) Transitive property of inequalities Logical deduction Number line concepts

Why This Matters: Inequality Reasoning problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test transitive reasoning and logical deduction.

How to Solve Inequality Reasoning Problems

Step 1: Write all given inequality statements clearly

Step 2: Identify relationships between variables

Step 3: Apply transitive property: if A > B and B > C, then A > C

Step 4: If signs are opposite (A > B < C), no direct relation exists

Step 5: Evaluate each conclusion against the established relationships

Step 6: A conclusion is definitely true if it follows from the given statements

Step 7: If multiple interpretations are possible, check for 'cannot be determined'

Pro Strategy: Chain the inequalities when they point in the same direction. If signs change direction (A > B < C), no direct conclusion between A and C is possible. Use the transitive property to derive new relationships.

Example Problem

Example: Given A > B and B > C. Which is definitely true? Solution: Step 1: Statements: A > B, B > C Step 2: Apply transitive: A > B and B > C → A > C Step 3: Conclusion A > C is definitely true Answer: A > C

Pro Tips & Tricks

Transitive: A > B and B > C → A > C
A > B and B < C → no relation between A and C
A = B and B > C → A > C
A > B and B = C → A > C
Draw a number line to visualize relationships
If multiple statements are given, combine them into a single chain when possible

Shortcut Methods to Solve Faster

If A > B > C → A > C

If A < B < C → A < C

If A ≥ B and B ≥ C → A ≥ C

If A > B and B ≥ C → A > C

If A = B and B > C → A > C

Common Mistakes to Avoid

Applying transitivity when signs point in opposite directions

Assuming A > C when given A > B and B < C

Forgetting that ≥ includes equality

Not considering that multiple chains may give different conclusions

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Inequality Reasoning. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems