Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y < -2

Answer:Step-by-step explanation:The slope form of an equation of a line:[tex]y=mx+b[/tex]m - slopeb - y-interceptWe only need two points to draw a line.Convert to the slope-intercept form.[tex]2x-y>4[/tex]        add y to both sides[tex]2x>y+4[/tex]        subtract 4 from both sides[tex]2x-4>y\to y<2x-4[/tex]Choice two values of x, put to the equation y = 2x - 4:for x = 0[tex]y=2(0)-4=0-4=-4\to(0,\ -4)[/tex]for x = 2[tex]y=2(2)-4=4-4=0\to(2,\ 0)[/tex][tex]2x-y<-2[/tex]        add y to both sides[tex]2x<y-2[/tex]           add 2 to both sides[tex]2x+2<y\to y>2x+2[/tex]y = 2x + 2for x = 0[tex]y=2(0)+2=0+2=2\to(0,\ 2)[/tex]for x = 2[tex]y=2(2)+2=4+2=6\to(2,\ 6)[/tex]<, > - dotted line≤, ≥ - solid line<, ≤ - we shade the region below the line>, ≥ - we shade the region above the line[tex]y<2x-4[/tex]dotted line passes through (0, -4) and (2, 0), we shade the region below the line[tex]y>2x+2[/tex]dotted line passes through (0, 2) and (2, 6), we shade the region above the line