Answer:
(2, 2)
Step-by-step explanation:
Given:
The inequalities are:
[tex]y>-3\\y>-x-1[/tex]
Option 1: (0, -10)
Here, 'y' is -10 but 'y' must be greater than -3 but here -10 is less than -3.
So, (0, -10) is incorrect.
Option 2: (-3, -4)
Here also, -4 is less than -3. So, this is also incorrect.
Option 3: (2, 2)
Here, the value of 'y' is 2 which is greater than -3. Now, let us check the second inequality.
[tex]x=2,y=2\\2>-2-1\\2>-3(True)[/tex]
So, both the inequalities are true. So, the point that is included in the solution set of the system of inequalities is (2, 2).
Option 4: (-4, -2)
Here, the 'y' value is -2 which is greater than -3. So, first inequality holds true.
[tex]x=-4,y=-2\\-2>-(-4)-1\\-2>4-1\\-2>3(False)[/tex]
So, option 4 is incorrect.
Therefore, the only correct option is (2, 2).
