Question 875260
The graph of {{{y<2x+4)}}} looks like this {{{graph(300,300,-7,3,-4,6,y<2x+4)}}} ,
and {{{graph(300,300,-7,3,-8,2,y>x-1)}}} is what the graph of {{{y>x-1}}} looks like.
A better graph of the solution to {{{system(y<2x+4,y>x-1)}}} is shown below.
The boundaries to {{{y>x-1}}} and {{{green(y<2x+4)}}} are the lines
{{{blue(y=x-1)}}} and {{{green(y=2x+4)}}} , which are not part of the solution, so they are drawn as dashed lines.
The shaded wedge is the answer. Those are the points above the blue {{{blue(y=x-1)}}} line, but below the green {{{green(y=2x+4)}}} line.
{{{drawing(300,300,-7,3,-8,2,
grid(0),
blue(line(-7,-8,-6.5,-7.5)),blue(line(-6,-7,-5.5,-6.5)),blue(line(-5,-6,-4.5,-5.5)),
blue(line(-4,-5,-3.5,-4.5)),blue(line(-3,-4,-2.5,-3.5)),blue(line(-2,-3,-1.5,-2.5)),
blue(line(-1,-2,-0.5,-1.5)),blue(line(0,-1,0.5,-0.5)),blue(line(1,0,1.5,0.5)),
blue(line(2,1,2.5,1.5)),
green(line(-6,-8,-5.5,-7)),green(line(-5,-6,-4.5,-5)),green(line(-4,-4,-3.5,-3)),
green(line(-3,-2,-2.5,-1)),green(line(-2,0,-1.5,1)),green(line(-1.3,1.4,-1,2)),
line(-4.5,-5.5,-4.75,-5.5),line(-4.5,-5,-4,-5),line(-3.5,-4.5,-4.25,-4.5),
line(-2.5,-3.5,-3.75,-3.5),line(-1.5,-2.5,-3.25,-2.5),line(-0.5,-1.5,-2.75,-1.5),
line(0.5,-0.5,-2.25,-0.5),line(1.5,0.5,-1.75,0.5),line(2.5,1.5,-1.25,1.5)
)}}}