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Solution of System of Linear Inequalities in 2 Variables Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Solution of System of Linear Inequalities in 2 Variables Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What is a system of linear inequalities in 2 variables?
Ans. A system of linear inequalities in 2 variables is a set of two or more linear inequalities that involve two variables, typically denoted as x and y. The solution to the system is the set of all points that satisfy all the inequalities simultaneously.
2. How do you graph a system of linear inequalities in 2 variables?
Ans. To graph a system of linear inequalities in 2 variables, first graph each individual inequality on the coordinate plane. The solution to the system is the region where all the shaded regions of the individual inequalities overlap.
3. What is the solution to a system of linear inequalities in 2 variables?
Ans. The solution to a system of linear inequalities in 2 variables is the set of all points that satisfy all the inequalities simultaneously. It can be represented as an ordered pair (x, y) that satisfies all the given inequalities.
4. How can you determine if a point is a solution to a system of linear inequalities in 2 variables?
Ans. To determine if a point is a solution to a system of linear inequalities in 2 variables, substitute the values of the point into each inequality. If the inequalities are true for all the values, then the point is a solution to the system.
5. Can a system of linear inequalities in 2 variables have no solution?
Ans. Yes, a system of linear inequalities in 2 variables can have no solution. This occurs when the shaded regions of the individual inequalities do not overlap, resulting in an empty region that satisfies none of the inequalities. In such cases, we say that the system is inconsistent.
209 videos|443 docs|143 tests

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