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Linear Inequalities

Short Answer Type

61. Represent the following inequality graphically in two dimensional plane:
2x + 6 > 0

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62. Represent the following inequality graphically in two dimensional plane:
3y + 6 < 0

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63. Solve the following inequality graphically in two-dimensional plane:

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64. Solve the following inequality graphically in two-dimensional plane:

4 straight x minus 3 straight y greater or equal than 0

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65. Solve the following inequality graphically in two-dimensional plane:
x + y < 5

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66. Solve the following inequality graphically in two-dimensional plane:

space space straight x space minus space straight y space greater or equal than space 2

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67.

Solve the following inequality graphically in two-dimensional plane:
– 3x + 2y ≥ – 6

151 Views

68.

Solve the following inequality graphically in two-dimensional plane:
3y – 5x < 30

145 Views

69.
Solve the following inequality graphically in two-dimensional plane:
2x – 3y > 6

First, we draw a dotted line to represent graph of line 2x - 3y = 6.
x 0 3
y -2 0

Now, let us take a point O(0, 0). Substitute in given inequality. 2(0) - 3(0) > 6 or 0 > 6 which is not true. Therefore, origin is not the solution of given inequality. From these observations, the graph is given below in which the shaded region represents the solution of the given inequality.