Inequality Notation
Inequality Notation problems use custom symbols to represent inequality relationships (<, >, ≤, ≥, ≠, ≈). You must evaluate whether the statement is true or false after substituting the actual inequality symbols.
What You'll Learn
Introduction to Inequality Notation
Inequality Notation problems use custom symbols to represent inequality relationships (<, >, ≤, ≥, ≠, ≈). You must evaluate whether the statement is true or false after substituting the actual inequality symbols.
Prerequisites
How to Solve Inequality Notation Problems
Step 1: Identify the mapping of each custom symbol to its inequality
Step 2: Substitute the actual inequality symbol
Step 3: Evaluate whether the inequality statement is true or false
Step 4: For ≈ (approximately equal), check if numbers are close (within reasonable margin)
Step 5: Write the answer as True or False
Step 6: Double-check your comparison
Example Problem
Example: If ◀ means 'less than' and ▶ means 'greater than', evaluate: 5 ◀ 8 Solution: Step 1: ◀ means < Step 2: Statement becomes: 5 < 8 Step 3: 5 is less than 8, so this is True Answer: True
Pro Tips & Tricks
- < : less than (strict)
- > : greater than (strict)
- ≤ : less than or equal to
- ≥ : greater than or equal to
- ≠ : not equal to
- ≈ : approximately equal (within reasonable tolerance)
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Inequality Notation. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Inequality Notation is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Inequality Notation?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: