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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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First, we draw the graph of straight line 2x + 3y = 0

Now, let us test a point B(1, 1)
$2 left parenthesis 1 right parenthesis space plus space 3 left parenthesis 1 right parenthesis space less or equal than space 0 space or space 5 space less or equal than space 0$ which is not true.
From these obseravtions, the graph is given below in which the shaded region represents the solution of given inequality which does not contain point B(1, 1).