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Introduction to Linear Inequalities Video Lecture - CA Foundation

FAQs on Introduction to Linear Inequalities Video Lecture - 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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Apr 27, 2025 Last updated

Introduction to Linear Inequalities for CA Foundation2025 is part of CA Foundation preparation. The notes and questions for Introduction to Linear Inequalities have been prepared according to the CA Foundation exam syllabus. Information about Introduction to Linear Inequalities covers all important topics for CA Foundation2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Introduction to Linear Inequalities.

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