Inequality

Reasoning - Inequality

What is Inequality?

These questions involve mathematical statements using inequality symbols (\( >, <, \geq, \leq, = \)). You need to determine the truth of conclusions based on given relations.

Symbols and Their Meaning

\( A > B \): A is greater than B
\( A < B \): A is less than B
\( A \geq B \): A is greater than or equal to B
\( A \leq B \): A is less than or equal to B
\( A = B \): A is equal to B

Example Questions

• Statements: \( A > B, B \geq C \)
  Conclusion: A > C
  Answer: Answer: True
• Statements: \( D \leq E, E = F \)
  Conclusion: D > F
  Answer: Answer: False

Exam Tips

• Draw chain relationships from statements.
• Remember: the conclusion must be true in all possible cases.
• Look for breaks in logic (opposite or contradictory signs).

Common Mistakes

• Assuming \( A > B \) and \( B > C \) implies \( A = C \).
• Combining statements without proper direction.
• Misreading \( \leq \) and \( \geq \) as strict inequality.

Quick Revision Checklist

• Practice with all 5 inequality symbols.
• Memorize valid transitive combinations.
• Use tree/graph method to trace relationships.

Summary: Inequality questions test logical comparison. Focus on symbol meaning, correct chaining, and only accept conclusions that hold in every scenario.