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

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Answer 1 · 2017-06-25T10:57:10

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

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

$4 \leq - 3 \cdot 0 + 4 or 4 \leq 4$ $4<= -3*0+4 or 4 <= 4$ (yes).

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

$4 > 5 \cdot 0 - 2 or 4 > - 2$ $4 > 5*0 -2 or 4 > -2$ (yes).

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

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

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