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What are Inequalities? Video Lecture | Crash Course for XAT - CAT
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FAQs on What are Inequalities? Video Lecture - Crash Course for XAT - CAT
| 1. What are the different types of inequalities? |  |
Ans. Inequalities can be classified into different types such as linear inequalities, quadratic inequalities, polynomial inequalities, rational inequalities, and absolute value inequalities.
| 2. How are inequalities graphed on a number line? | |
Ans. To graph an inequality on a number line, first identify the critical points and then use open or closed circles to represent them. Finally, shade the region that satisfies the inequality.
| 3. How are inequalities solved algebraically? | |
Ans. Inequalities are solved algebraically by treating them like equations, with one key difference: when multiplying or dividing by a negative number, the direction of the inequality sign must be reversed.
| 4. What is the significance of inequalities in real-world applications? | |
Ans. Inequalities are crucial in real-world applications such as budgeting, resource allocation, optimization problems, and determining feasible solutions within constraints.
| 5. How are systems of inequalities solved? | |
Ans. Systems of inequalities are solved by graphing the individual inequalities on the same coordinate plane and finding the overlapping shaded region representing the solution to the system.
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