Solve the following inequality graphically in two-dimensional pl

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 Multiple Choice QuestionsShort 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

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68.

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

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69.

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

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70.

Solve the following inequality graphically in two-dimensional plane:
y + 8 ≥ 2x


First, we draw a dark line to represent the graph of straight line y + 8 = 2x.
i.e.,       2x - y = 8
x             0              4
y            -8              0

Now, let us take a point O(0, 0), i.e, origin.
Substitute in given inequality, 0 + 8 ≥ 2(0) or 8 ≥ 0 which is true.
Therefore, origin is the solution of given inequality.
From these observations, the graph is given below, in which shaded region represents the solution of the given inequality.

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