Question 548977
{{{x - 2y >=-8}}}
Putting this into y=mx+b form we get:
{{{x - 2y +2y+8>=-8+2y+8}}}
{{{x+8>=2y}}}
{{{(x+8)/2>=2y/2}}}
{{{x/2+8/2>=y}}}
{{{x/2+4>=y}}}
And graphing the line 
y=x/2+4:
{{{graph(300,300,-10,10,-10,10,x/2+4)}}}
Taking points from both above the line and under the line, we see that the points below the line agree with the inequality we started with.  




{{{7x + y < -6 }}}
Putting this into y=mx+b form:
{{{7x + y -7x< -6 -7x}}}
{{{y<-7x-6}}}
And graphing the line 
y=-7x-6:
{{{graph(300,300,-10,10,-10,10,-7x-6)}}}
Taking points from both above the line and under the line and substituting them into the equality above, we see that the points below the line satisfy the inequality we started with.


When we graph both the lines together, the points that lie below BOTH lines are the solutions:
{{{graph(500,500,-10,10,-10,10,-7x-6,x/2+4)}}}