Chapter 3.1, Problem 39E

The regions A through G in the figure can be described by the inequalities

x + 3y ? 6

x + y ? 3

x – 2y ? 2

x ≥ 0

y ≥ 0,

where ? can be either ≤ or ≥. For each region, tell what the ? should be in the three inequalities. For example, for region A, the ? should be ≥,≤, and≤, because region A is described by the inequalities

x + 3y ≥ 6

x + y ≤ 3

x – 2y ≤ 2

x ≥ 0

y ≥ 0.