CAT Solving inequalities using number line - Practice Questions & MCQ

1. Introduction

• Definition of Inequalities
• Key elements of inequalities
• Representation of inequalities using number line

2. Solving Inequalities using Number Line

• Step by step method for solving inequalities using number line
• Example using previous year questions:
• Question: Solve the inequality
• Solution:
  • Step 1: Subtract 4 from both sides of the inequality.
  • Step 2: Divide both sides by
  • Step 3: Represent the solution on the number line.

3. Tips and Tricks

• Tip 1: Be careful while performing operations on both sides of the inequality. The direction of the inequality may change.
• Tip 2: Remember to flip the inequality sign when multiplying or dividing by a negative number.
• Tip 3: Use the number line to visualise the solution and identify the valid range.

4. Common Mistakes to Avoid

• Mistake 1: Forgetting to flip the inequality sign when multiplying or dividing by a negative number.
• Mistake 2: Confusing the direction of the inequality while performing operations on both sides.
• Mistake 3: Misinterpreting the solution on the number line.

5. Practice Questions

• Question 1: Solve the inequality
• Question 2: Solve the inequality

6. Key Takeaways

• Understanding and solving inequalities using the number line
• Applying the steps to solve inequalities in management entrance exam questions