CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Inequalities - 1
Inequalities - 1 Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Inequalities - 1 Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the concept of inequalities in mathematics? |  |
Ans. In mathematics, inequalities are statements that compare two expressions, showing the relationship between their values. They include symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to), which indicate the relative size of the expressions.
| 2. How are inequalities solved? | |
Ans. Inequalities can be solved by using similar methods as equations, with some additional considerations. The main goal is to isolate the variable on one side of the inequality sign. However, when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
| 3. What are the different types of inequalities? | |
Ans. There are several types of inequalities, including linear inequalities, quadratic inequalities, rational inequalities, and absolute value inequalities. Each type has its own properties and methods of solution, depending on the specific mathematical expression involved.
| 4. How do inequalities apply to real-life situations? | |
Ans. Inequalities are commonly used to represent real-life situations where quantities can vary and be compared. For example, they can be used to model and solve problems related to income inequality, population growth, resource allocation, or budget constraints. Inequalities help analyze and make decisions based on the relative values of different variables.
| 5. Can inequalities have multiple solutions? | |
Ans. Yes, inequalities can have multiple solutions. Unlike equations, which generally have a single solution, inequalities often represent a range of possible values that satisfy the given conditions. The solutions to an inequality can be represented on a number line or as an interval, indicating all the values that make the inequality true.
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Nov 21, 2024 Last updated |
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