Question

Select the point that is included in the solution set of the system of

inequalities. y>-3
Y>-x-1
(0, -10)
(-3,-4)
(2,2)
(-4,-2)
Please help!

Answer 1

(2, 2)

Explanation:

Given:

The inequalities are:

`y>-3\\y>-x-1`

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.

`x=2,y=2\\2>-2-1\\2>-3(True)`

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.

`x=-4,y=-2\\-2>-(-4)-1\\-2>4-1\\-2>3(False)`

So, option 4 is incorrect.

Therefore, the only correct option is (2, 2).