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

First, we draw the graph of straight line 4x - 3y = 0
x 0 3
y 0 4

Now, let us take a point B(1, 1)
∴ 4(1) - 3(1) $greater or equal than$ 0 or 1 $greater or equal than$ 0 which is true.
From these observations, the required solution is represented by the shaded portion of the graph given below which contains point B(1, 1).