Question 991559
First graph the line {{{x+y=5}}}
x intercept :(5,0)
y intercept :(0,5)
Choose a point not on the line. 
(0,0) is convenient.
Test the inequality.
If the inequality is true, shade the region containing (0,0).
{{{0+0<=5}}}
{{{0<=5}}}
True.
*[illustration fd12.JPG].
.
.
.
Similarly graph the line {{{x+2y=8}}}
x intercept :(8,0)
y intercept :(0,4)
Choose a point not on the line. 
(0,0) is convenient.
Test the inequality.
{{{0+2(0)<=8}}}
{{{0<=8}}}
True.
*[illustration fd13.JPG].
So putting those together gets you the green region shown here.
*[illustration fd14.jpg].