CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > Introduction to Linear Inequalities
Introduction to Linear Inequalities Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on Introduction to Linear Inequalities Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What is a linear inequality? |  |
Ans. A linear inequality is a mathematical statement that compares two expressions using the symbols "<", ">", "<=", ">=", or "≠". It represents a range of values that satisfy the inequality.
| 2. How are linear inequalities represented graphically? | |
Ans. Linear inequalities can be represented graphically by plotting the corresponding linear equation and shading the region that satisfies the inequality. The shaded region represents all the possible solutions to the inequality.
| 3. What are the steps to solve a linear inequality? | |
Ans. To solve a linear inequality, follow these steps:
1. Simplify the inequality if necessary.
2. Move all the variables to one side of the inequality and constants to the other side.
3. Solve the resulting linear equation.
4. Determine the sign of the inequality based on the direction of the inequality symbol.
5. Write down the solution set or represent it graphically.
| 4. How do I determine if a given value is a solution to a linear inequality? | |
Ans. To determine if a given value is a solution to a linear inequality, substitute the value for the variable in the inequality and check if the resulting statement is true or false. If the statement is true, the value is a solution; if false, it is not a solution.
| 5. Can a linear inequality have multiple solutions? | |
Ans. Yes, a linear inequality can have multiple solutions. The solution set of a linear inequality is often represented as a range of values or an interval. If there are multiple values within that range or interval that satisfy the inequality, then the inequality has multiple solutions.
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Nov 21, 2024 Last updated |
Video Description: Introduction to Linear Inequalities for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation.
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