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SAT, 28.12.2021 03:50 Ladyt916

Find a linear inequality with the following solution set. Each grid line represents one unit. [asy] size(200); fill((-5,3)--(3,-5)--(-5,-5)--cycle , yellow); real ticklen=3; real tickspace=2; real ticklength=0. 1cm; real axisarrowsize=0. 14cm; pen axispen=black+1. 3bp; real vectorarrowsize=0. 2cm; real tickdown=-0. 5; real tickdownlength=-0. 15inch; real tickdownbase=0. 3; real wholetickdown=tickdown; void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) { import graph; real i; if(complexplane) { label("$\textnormal{re}$",(xright,0 ),se); label("$\textnormal{im}$",(0,ytop), nw); } else { label("$x$",(xright+0. 4,-0. 5)); label("$y$",(-0. 5,ytop+0. 2)); } ylimits(ybottom, ytop); xlimits( xleft, xright); real[] ticksarrx, ticksarry; for(i=xleft+xstep; i0. 1) { ticksarrx. Push(i); } } for(i=ybottom+ystep; i0. 1) { ticksarry. Push(i); } } if(usegrid) { xaxis(bottomtop(extend=false), ticks("%", ticksarrx ,ptick=gray(0. 1),extend=true),p=invisible);//,abo ve=true); yaxis(leftright(extend=false),ticks ("%", ticksarry ,ptick=gray(0. 1),extend=true), p=invisible);//,arrows); } if(useticks) { xequals(0, ymin=ybottom, ymax=ytop, p=black, ticks("%",ticksarry , ptick=black+0. 8bp, size=ticklength), above=true, arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=black, ticks("%",ticksarrx , ptick=black+0. 8bp, size=ticklength), above=true, arrows(size=axisarrowsize)); } else { xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, arrows(size=axisarrowsize)); } }; draw((-5,3)--(3,-5),dashed+red, arrows(size=axisarrowsize)); rr_cartesian_axes(-5,5,-5,5); for( int i = -4; i <= 4; ++i) { draw((i,-5)--(i,5)); draw((-5,i)--(5,i)); } [/asy] (give your answer in "standard form" $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1. ).

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