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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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