# graph the inequalites x+y<_4, y-1>_1(x+2)? can you show me the calculations. `x+y<= 4` Subtract x.

`y<= -x + 4` Slope = -1 and y-intercept = 4

Test (0,0)  `0<= 0 + 4rArr 0<= 4`

(0, 0 ) is a solution, therefore graph the region that contains the origin. (This is the graph in red)

`y - 1>= -1(x + 2)`

`y>= -1(x+2) +...

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`x+y<= 4` Subtract x.

`y<= -x + 4` Slope = -1 and y-intercept = 4

Test (0,0)  `0<= 0 + 4rArr 0<= 4`

(0, 0 ) is a solution, therefore graph the region that contains the origin. (This is the graph in red)

`y - 1>= -1(x + 2)`

`y>= -1(x+2) + 1`

`y>= -x - 2 + 1`

`y>=-x-1`  Slope = -1, y-intercept = -1

Test (0, 0) `0>= 0 - 1rArr 0>= -1`

This is true, therefore graph the region with the origin.

(This is the graph in blue.)

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