# Which of the following points are solutions to the system of inequalities shown below? y>6x + 5; color(white)("d")y<-6x + 7 ?

## The choices are:$\textcolor{w h i t e}{\text{d")(2, 17);color(white)("d")(-2, 19);color(white)("d")(2, 18);color(white)("d")(0, 6);color(white)("d")(8, 8);color(white)("d}} \left(- 2 , 18\right)$

Only $\left(0 , 6\right)$ and $\left(- 2 , 18\right)$ satisfy both $y > 6 x + 5$ and $y < - 6 x + 7$
{: (ul(x),ul(y),ul(6x+5),ul(y > 6x+5),,ul(-6x+7),ul(y < -6x+7),,ul("both conditions?")), (2,17,17,color(red)("No"),,-5,color(red)("No"),,color(red)("NO")), (-2,19,-7,color(blue)("Yes"),,19,color(red)("No"),,color(red)("NO")), (2,18,17,color(red)("No"),,-5,color(red)("No"),,color(red)("NO")), (0,6,5,color(blue)("Yes"),,7,color(blue)("Yes"),,color(blue)("YES")), (8,8,53,color(red)("No"),,-41,color(red)("No"),,color(red)("NO")), (-2,18,-7,color(blue)("Yes"),,19,color(blue)("Yes"),,color(blue)("YES")) :}