Which of the options is a solution for the following system of inequalities?
4x+y> 3
x-y> 2

(-2,-2)
(1,-5)
(0,0)
(5,-2)

Option D.

Step-by-step explanation:

The given system of inequalities are

We need to find a solution for the following system of inequalities.

Check each point by these inequalities.

For (-2,-2)

False

So, (-2,-2) is not included in the solution set.

For (1,-5)

False

So, (1,-5) is not included in the solution set.

For (0,0)

False

So, (0,0) is not included in the solution set.

For (5,-2)

True

True

Both inequalities are true for the point (5,-2). So, the point (5,-2) is a solution for the following system of inequalities

Therefore, the correct option is D.