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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.
300 videos|235 docs|24 tests
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