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Inequalities - 2 Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Inequalities - 2 Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What are inequalities in mathematics? |  |
Ans. Inequalities in mathematics are statements that compare two quantities or expressions and indicate that one is greater than, less than, or not equal to the other. They are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to).
| 2. How do you solve an inequality? | |
Ans. To solve an inequality, follow similar steps as solving an equation. However, when multiplying or dividing both sides of the inequality by a negative number, the direction of the inequality sign must be reversed. The solution is the range of values that make the inequality true.
| 3. What is the difference between an equation and an inequality? | |
Ans. An equation is a mathematical statement that shows the equality between two expressions, while an inequality is a mathematical statement that shows the relationship between two expressions, indicating that one is greater than, less than, or not equal to the other.
| 4. How do you graph an inequality on a number line? | |
Ans. To graph an inequality on a number line, first, identify the inequality symbol (<, >, ≤, ≥), and then represent the variable on the number line. If the inequality is strict (< or >), use an open circle to represent the value. If it is inclusive (≤ or ≥), use a closed circle. Finally, shade the region to the right (for > or ≥) or left (for < or ≤) of the circle to represent the solutions.
| 5. Can you solve systems of inequalities? | |
Ans. Yes, systems of inequalities can be solved. A system of inequalities consists of multiple inequalities with the same variables. The solution is the set of values that satisfy all the inequalities simultaneously. The solution region is the overlapping region when graphed on a coordinate plane. It can be found by graphing each inequality and identifying the overlapping region.
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Dec 22, 2024 Last updated |
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