Which point lies in the feasible region of $x + y \le 8, x + 3y \ge 6, x \ge 0, y \ge 0$?

Explanation

1. 01

   Put each point into every constraint.

2. 02

   $(3, 2)$: $3 + 2 = 5 \le 8$ and $3 + 6 = 9 \ge 6$. $(1, 1)$ and $(0, 1)$ fail $x + 3y \ge 6$; $(6, 4)$ fails $x + y \le 8$.