Consider the solution to the system of inequalities below. {y less than or equal to 0.5x +2 {y greater than 3x-3 which of the following functions could be added to the system without changing the solution set? y > 2 y < 2 y > 3 y = 3

 y<2

Step-by-step explanation:

Since we can say a functions could be added to the system without changing the solution set if after including it to the system the feasible region of entire system is not affected.

Here, the solution to the system of inequalities is,

y≤ 0.5x+2

y>3x-3

Since after ploting these two enequslties in the graph we get our feasible region.

When we include y > 2 in the system there is no solution of the system.

Therefore it affects the system.

Now when we include y < 2 in the system the solution or feasible region remain same.

Therefore it does not affect the system.

When we include y > 3 in the system there is no solution of the system.

Therefore it affects the system.

When we include line y=3 in the system then the system has no solution.

Therefore, it affects the system.

Thus, second Option  is correct.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: