# 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) +...

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

`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.)

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 2)
This image has been Flagged as inappropriate Click to unflag
Image (2 of 2)
Approved by eNotes Editorial Team