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Solve the following systems of linear in...

Solve the following systems of linear inequalities graphically : `x + y gt 1 , 3x - y lt 3, x- 3y + 3 gt 0`.

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`x + y gt 1
`3x-y lt 3`


Step-2 : Let us consider the point (0,0) that does not lie on these Putting x=0,y=0 in the inequations we get, thus (0,0) satisfies 3x-y `lt`3 and x-3y + 3 `gt`0 but does satisfy x + y `gt` 1.
`therefore` The shaded region is the solutions region.
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