Question 668710
-3x < 5 - y
as
{{{highlight(y < 3x + 5)}}}
...
x > -6 - y
as
{{{highlight_green(y > -x - 6)}}}
...
Set them equal to each other
3x + 5 = -x - 6
3x + x = -6 - 5
4x = -11
{{{x = -11/4}}}
...
{{{y = 3(-11/4) + 5}}}
{{{y = -33/4 + 20/4}}}
{{{y = -13/4}}}
...
Solution
(-11/4, -13/4)
...
Graph
Red line: y < 3x + 5
Dashed line with shading below the line
...
Green line: y > -x - 6
Dashed line with shading above the line
...
{{{graph(300,200,-10,5,-10,5,3x+5,-x-6)}}}
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