Question 933201
{{{3x + y < 1}}}

{{{-x + y <=2}}}
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{{{y <-3x+ 1}}}

{{{y <=x+2}}}
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intersection point will be there where both {{{y}}}'s equal:

{{{x+2=-3x+ 1}}}

{{{x+3x=-2+ 1}}}

{{{4x=-1}}}

{{{x=-1/4}}}

so, if {{{x=-1/4}}} then

{{{y <-3(-1/4)+ 1}}}=> {{{y <3/4+ 1}}}=> {{{y <7/4}}}

and

{{{y <=x+2}}}=>{{{y <=(-1/4)+4/4}}}=>{{{y <=3/4}}}


{{{ graph(600, 600, -10, 10, -10, 10, y=x+2,y=-3x+ 1) }}}

 
to shade solution

{{{ graph(600, 600, -10, 10, -10, 10,y <7/4,y <=3/4,y=x+2 ,y=x+2,y=-3x+ 1) }}}


shade the part between yellow and blue line on red background