Careers360 Logo
CAT Registration 2024, Application Form Date - Fees, How to Apply

CAT Solving inequalities using number line - Practice Questions & MCQ

Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT

Quick Facts

  • 4 Questions around this concept.

Solve by difficulty

Which values of x satisfy the inequality (x + 1)(x - 3) < 0? 

Solution of the inequality \:\left(x\:+\:1\right)\left(x\:-\:2\right)\left(x+7\right)\:<\:0 is

Solution of (x+1)(x-2)\geq 0 

Concepts Covered - 1

Solving inequalities using number line
  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 \mathrm{3x + 4 > 10}
  • Solution:
    • Step 1: Subtract 4 from both sides of the inequality. \mathrm{3x > 6}
    • Step 2: Divide both sides by \mathrm{3. x > 2}
    • 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 \mathrm{2x - 5 \leq 9}
  • Question 2: Solve the inequality \mathrm{3(2 - x) > 8 - 2x}

6. Key Takeaways

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

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Get Answer to all your questions

Back to top