InterviewSolution
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4x + 3y le 60, y ge 2x, x ge 3, x, y ge 0 |
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Answer» Corresponding equation : `4x + 3y = 60` This line passes through the points A (15, 0) and B (0, 20). Join AB. At point (0, 0) from the inequation, `0le60` (TRUE) The solution of this inequation is that region of XY-plane DIVIDED by line AB in which (0, 0) lies. Seond inequation : `yge2x` Corresponding equation: `y = 2X` This line passes through the points O(0, 0) and C(5, 10) Join OC. At point (5, 0), from the inequation, `0 ge 10` (False) The solution of this inequation is that region of XY-plane divided byline OC in which (5, 0) does not lie. The solution of `xge 3 is x = 3` and its right side. The solution of `y ge 0 is y = 0 ` and its above. The common solution of given inequation is shown by the shaded region.
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