Question

By graphing a system of constraints, find the values of x and y that maximize the objective function.
x+y less than it equal to 8
2x + y is less than it equal to 10
x is great her than it equal to 0
y is great her than it equal to 0

Answer 1

x+y less than it equal to 8 ----> x+y is less than or equal to 8 ---> x + y ≤ 8
2x + y is less than it equal to 10 ---> 2x+y is less than or equal to 10 ---> 2x + y ≤ 10
x is great her than it equal to 0 ----> x is greater than or equal to 0 ---> x ≥ 0
y is great her than it equal to 0 ---> y is greater than or equal to 0 ---> y ≥ 0
??? great her ?????

Did you sketch the two lines?
The last two condition simply tell you look only in the first quadrant.

intersection of the two lines:
x+y = 8
2x + y = 10
subtract them:
x = 2, and then y = 6

Now it would be helpful if I knew what the objective function is.