what is an unbounded set ?????? show that the solution set of the following system of linear inequalities is an unbounded region ; 2x + y is greater than or equal to 8, x + 2y is greater then or equal to 10, x, y is greater then or equal to 0

In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely, a set which is not bounded is called unbounded. The word bounded makes no sense in a general topological space without a metric.