CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > How To Solve Linear Inequalities
How To Solve Linear Inequalities Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on How To Solve Linear Inequalities Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What are linear inequalities? |  |
Ans. Linear inequalities are mathematical expressions that compare two values using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). They represent a range of values that satisfy the inequality.
| 2. How do you solve linear inequalities? | |
Ans. To solve linear inequalities, follow these steps:
1. Treat the inequality sign as an equals sign and solve the equation.
2. Identify the sign of the inequality (< or >) and draw an open circle on the graph if it is strict, or a closed circle if it is inclusive.
3. Shade the region on the graph that satisfies the inequality.
4. Write the solution in interval notation or set notation.
| 3. What is the difference between solving equations and solving inequalities? | |
Ans. The main difference between solving equations and solving inequalities is that equations find the exact value of an unknown variable that satisfies the equation, while inequalities find a range of values that satisfy the inequality. Inequalities allow for multiple solutions, whereas equations typically have only one solution.
| 4. Can you solve linear inequalities graphically? | |
Ans. Yes, linear inequalities can be solved graphically. By graphing the inequality on a coordinate plane, you can visually determine the range of values that satisfy the inequality. The shaded region on the graph represents the solution set of the inequality.
| 5. Are there any rules or properties specific to solving linear inequalities? | |
Ans. Yes, there are some rules and properties specific to solving linear inequalities. These include:
- When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
- Adding or subtracting the same value from both sides of an inequality does not change the direction of the inequality sign.
- When solving compound inequalities (inequalities with multiple inequality symbols), you can break them down into separate inequalities and solve them individually.
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Dec 22, 2024 Last updated |
Video Description: How To Solve Linear Inequalities for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation.
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