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Inequalities in One Shot Video Lecture - One-Shot Videos for JEE
FAQs on Inequalities in One Shot Video Lecture - One-Shot Videos for JEE
| 1. What are inequalities in mathematics? |  |
Ans. Inequalities are mathematical statements that compare two expressions, indicating that one is greater than, less than, greater than or equal to, or less than or equal to the other. They are essential for solving various types of problems in algebra and calculus.
| 2. How do you solve linear inequalities? | |
Ans. To solve linear inequalities, you isolate the variable on one side of the inequality sign, similar to solving linear equations. However, if you multiply or divide by a negative number, you must reverse the inequality sign. Solutions are often expressed in interval notation.
| 3. What is the significance of graphical representation of inequalities? | |
Ans. Graphical representation of inequalities helps visualize the solution set. It involves shading the region of the graph that satisfies the inequality. This method is particularly useful for understanding systems of inequalities and their feasible regions.
| 4. Can you explain the difference between strict and non-strict inequalities? | |
Ans. Strict inequalities use the symbols ‘>’ or ‘<’, indicating that the values are not equal. Non-strict inequalities use ‘≥’ or ‘≤’, meaning the values can be equal or not. This distinction is crucial when determining solution sets.
| 5. What role do inequalities play in optimisation problems? | |
Ans. Inequalities are fundamental in optimisation problems as they define constraints within which a solution must be found. These constraints help identify feasible solutions that optimise a particular objective, such as minimising cost or maximising profit.
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Mar 08, 2026 Last updated
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