Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ Question 9: Solve the given inequality graphically in two-dimensional plane: y 2 Solution 9: The graphical representation of is given as dotted line in the figure below. This line divides the xy-plane in two half planes. 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, 0 2, y 2 which is false Also, it is evident that any point on the line does not satisfy the given inequality. Hence, every point below the line, (excluding all the points on the line), determines the solution of the given inequality. The solution region is represented by the shaded region as follows. y 2 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 10: Solve the given inequality graphically in two-dimensional plane: Solution 10: x 3 x 3 is given as dotted line in the figure below. This line The graphical representation of divides the xy-plane in two half planes. 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 true Also, it is evident that any point on the line does not satisfy the given inequality. Hence, every point on the right side of the line, determines the solution of the given inequality. The solution region is represented by the shaded region as follows. 0 3, x 3 (excluding all the points on the line), Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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