Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Thus, the solution region of the given inequality is the shaded half plane I excluding the points on the line. This can be represented as follows. Question 2: Solve the given inequality graphically in two-dimensional plane: 2 6 Solution 2: x y The graphical representation of 2x y 6 is given in the figure below. This line divides the xy-plane in two half planes, I and II. Select a point (not on the line), which lies in one of the half planes, to determine whether the point satisfies the given inequality or not. We select the point as (0, 0). It is observed that, which is false 2 0 0 6 or 0 6, Therefore, half plane I is not the solution region of the given inequality. Also, it is evident that any point on the line satisfies the given inequality. Thus, the solution region of the given inequality is the shaded half plane II including the points on the line. This can be represented as follows. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 3: Solve the given inequality graphically in two-dimensional plane: 3 4 12 Solution 3: 3x4y12 The graphical representation of 3 4 12 is given in the figure below. This line divides the xy-plane in two half planes, I and II. Select a point (not on the line), which lies in one of the half planes, to determine whether the point satisfies the given inequality or not. We select the point as (0, 0). Thus, the solution region of the given inequality is the shaded half plane I including the points on the line. This can be represented as follows. x y x y Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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