Question

Is the point `(0, 4)` a solution the system of inequalities `y<=-3x+4` and `y>5x-2`?

Answer 1

Yes, `(0,4)` is one of the solutions .

Explanation:

Does `(0,4)` satisfy `y <= -3 x +4` ? Substituting `x=0,y=4` , we get

`4<= -3*0+4 or 4 <= 4` (yes).

Does `(0,4)` satisfy `y > 5x -2` ? Substituting `x=0,y=4` , we get

`4 > 5*0 -2 or 4 > -2` (yes).

`(0,4)` satisfies both `y <= -3 x +4` and `y > 5x -2`

Yes, `(0,4)` is one of the solutions .[Ans]