Question 74207
Solve for y
{{{3x-4y<12}}}
{{{-4y<12-3x}}}
{{{y>-3+(3/4)x}}}
So to graph the inequality, graph the equation first {{{y=-3+(3/4)x}}}
{{{graph( 300, 200, -6, 5, -10, 10, -3+(3/4)x) }}}
Now plug in any values for x and y to test the inequality. Its easy to choose (0,0). So plug in x=0 and y=0 into {{{3x-4y<12}}}
{{{3(0)-4(0)<12}}}
{{{0<12}}}works. This means that the region containing the point (0,0) will be shaded, which is the region above the graph.