Question

Which ordered pair is a solutionof y < 8x + 16?

Answer 1

The pair of point are writing in form of coordinate, hence the first value is x while the second value is the y.

Substituting each of the point in the options into the inequality

for (-2,0) x=-2, y=0

`\begin{gathered} y<8x+16 \\ 0<8(-2)+16 \\ 0<-16+16 \\ 0<0\text{ (wrong)} \end{gathered}`

For the point (-2,2) x=-2,y=2

`\begin{gathered} 2<8(-2)+16 \\ 2<0(\text{wrong)} \end{gathered}`

For the point (0,-16) x=0, y=-16

`\begin{gathered} \text{substituting into the inequality we have} \\ -16<8(0)+16 \\ -16<16(\text{ right)} \end{gathered}`

For the point (0,16) x=0,y=16

`\begin{gathered} 16<8(0)+16 \\ 16<16\text{ (wrong)} \end{gathered}`

Hence the ordered pair of the solution is (0,-16)

Option C is the right option