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Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation Video Lecture | Mathematics (Maths) for JEE Main & Advanced
FAQs on Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the algebraic solution of a linear inequality in one variable? |  |
Ans. The algebraic solution of a linear inequality in one variable is the set of all possible values of the variable that satisfy the inequality. It can be represented using inequalities or interval notation.
| 2. How can we graphically represent a linear inequality in one variable? | |
Ans. We can graphically represent a linear inequality in one variable by first plotting the corresponding linear equation on a number line. Then, depending on whether the inequality is strict or non-strict, we shade the region above or below the line to represent the solution set.
| 3. What is the difference between a strict and non-strict linear inequality? | |
Ans. A strict linear inequality is represented by < or > symbols and indicates that the variable must be strictly less than or greater than the given value. A non-strict linear inequality is represented by ≤ or ≥ symbols and includes the equal sign, indicating that the variable can be equal to the given value.
| 4. How can we solve a system of linear inequalities in one variable algebraically? | |
Ans. To solve a system of linear inequalities in one variable algebraically, we first solve each inequality separately to obtain the individual solution sets. Then, we find the intersection of all the solution sets to determine the common solution for the system.
| 5. What is the significance of the graphical representation of linear inequalities in one variable? | |
Ans. The graphical representation of linear inequalities in one variable provides a visual tool to understand and analyze the solution set. It helps in identifying the possible values of the variable that satisfy the inequality and allows for easy comparison and interpretation of multiple inequalities within a system.
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