Solve the given system of linear inequalities by graphing:

x+y>4
x-y<7

2 answers

x+y>4 will turn into y>-x+4 you will graph it like it says = instead of > and shade above the line.

x-y<7 will turn into y>x-7. Graph like there is an = and shade above the line with a different color.

Where the colors overlap will be the answer>
Using the following system of inequalities find the maximum value of f(x,y)=3x+2y
X>0
y>0
3x+2y<18
6x+7y<42