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Inequations (Class 11, CBSE) Video Lecture

FAQs on Inequations (Class 11, CBSE) Video Lecture

1. What are inequations in Class 11 CBSE?
Ans. Inequations in Class 11 CBSE refer to inequalities involving unknown variables. They are similar to equations but instead of an equal sign, they involve symbols like < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), etc. These inequalities help in representing a range of values that satisfy a given condition.
2. How do you solve inequations in Class 11 CBSE?
Ans. To solve inequations in Class 11 CBSE, follow these steps: 1. Treat the inequality as an equation and solve it algebraically. 2. Identify the solution set based on the given inequality symbol (<, >, ≤, ≥). 3. Represent the solution set on a number line or in interval notation, depending on the question's requirement. 4. Check the validity of the solution by substituting values from the solution set into the original inequality.
3. What is the difference between equations and inequations in Class 11 CBSE?
Ans. Equations and inequations in Class 11 CBSE are both mathematical expressions involving variables. However, the main difference lies in the equality aspect. Equations are mathematical expressions where two sides are equal, represented by the equal (=) sign. On the other hand, inequations involve inequalities, where the two sides are not equal, represented by symbols like <, >, ≤, ≥. While solving equations, we find the exact value of the variable, whereas solving inequations gives us a range of possible values that satisfy a given condition.
4. How are inequations useful in real-life scenarios?
Ans. Inequations have various applications in real-life scenarios. Here are a few examples: 1. In financial planning, where budget constraints involve inequalities to determine spending limits. 2. In manufacturing industries, to set production limits based on available resources or market demands. 3. In transportation planning, to establish speed limits or distance constraints for safety purposes. 4. In the study of population growth, to analyze birth and death rates and predict future trends. 5. In optimizing resource allocation, such as determining the best combination of ingredients in a recipe or the optimal production mix of goods.
5. Can you provide an example of solving an inequation in Class 11 CBSE?
Ans. Sure! Let's solve the inequation: 2x - 5 < 7. 1. Add 5 to both sides: 2x - 5 + 5 < 7 + 5. Simplifying, we get: 2x < 12. 2. Divide both sides by 2: (2x)/2 < 12/2. Simplifying further, we get: x < 6. Therefore, the solution set for this inequation is x ∈ (-∞, 6).
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