InterviewSolution
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InterviewSolution
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2x + y ge 4, x + y le 3, 2x - 3y le 6 |
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Answer» Corresponding equation : ` 2x+ y = 4` This line passes through the points A(2, 0) and B (0, 4) . Join AB . At point (0, 0) , from the inequation `0 ge 4` (False) `:.` The solution of this inequation is that region of XY-place divided by line AB in which (0, 0) does not LIE. Second inequation : `x + y le 3` Corresponding equation : `x + y = 3` This line thorugh the points C(3, 0) and D (0, 3). Join CD. At point (0, 0), from the inequation, 0le3 (True) `:.` The solution of this inequation is that region of XY-plane divided by line CD in which (0, 0) lies. Third inequation : ` 2x - 3y le 6` Corresponding equation: ` 2x - 3y = 6` This line paaes through the points C (3, 0) and E (0, -2). Join CE At point (0, o), from the inequation, 0 le 6 (True)  `:.` The solution of this inequation is that region of XY-plane divided by line CE in which (0, 0) lies . The solution of given inequations is shown by the SHADED region |
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