Math HW help? Please Explain how its done?

Question

I was sick today so I didn't get to be taught this lesson so please help?

1. Which point is a solution to the system of inequalitie: y>4x and y>-2x-3?
A. (2, -200)
B. (0, 10)
C. (1,3)
D. (-2, -10)

Answer 1

Given inequalites are y>4x, y>-2x-3

Take A(2,-200) and substitute in inequality.

-200>4*2

-200>8

this point is not a solution.

Now B(0,10)   

10>4*0               and 10>-2*0-3

10>0                       10>-3

B is the solution of given system of inequalities.

Answer 2

The system of inequalities are y > 4x and y > - 2x - 3.

• A.

Let, (x, y) = (2, - 200).

Now the inequalities are :

- 200 > 4(2)    and      - 200 > - 2(2) - 3

- 200 > 8        and       - 200 > - 7

The above statements are false.

So, the point (2, - 200) is not a solution to the system of inequalities.

• B.

Let, (x, y) = (0, 10),

Now the inequalities are :

10 > 4(0)    and      10 > - 2(0) - 3

10 > 0        and      10 > - 3

The above statements are true.

So, the point (0, 10) is a solution to the system of inequalities.

• C.

Let, (x, y) = (1, 3),

Now the inequalities are :

3 > 4(1)          and      3 > - 2(1) - 3

3 > 4              and      3 > - 5

The above statements are false.

So, the point (1, 3) is not a solution to the system of inequalities.

• D.

Let, (x, y) = (- 2, - 10),

Now the inequalities are :

- 10 > 4(- 2)          and      - 10 > - 2(- 2) - 3

- 10 > - 8              and      - 10 > 1

The above statements are false.

So, the point (- 2, - 10) is not a solution to the system of inequalities.

Therefore, B is the solution of the given system of inequalities.