CAT Solving inequalities using number line - Practice Questions & MCQ
Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT
Quick Facts
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6 Questions around this concept.
Solve by difficulty
EASYThe solution of the inequality is:
Solution of the inequation is:
Which values of $x$ satisfy the inequality $(x + 1)(x - 3) < 0$?
The solution of the inequality $\:\left(x\:+\:1\right)\left(x\:-\:2\right)\left(x+7\right)\:<\:0$ is:
Solution of $(x+1)(x-2)\geq 0$ is:
Concepts Covered - 1
Solving inequalities using number line
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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.
- Step 1: Subtract 4 from both sides of the inequality.
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
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