Question

Tyler wrote an inequality to represent the x and y values given in the table.

Answer 1

If tyler wrote an inequality for the table this must be true for any of the points in the table.

Start by selecting one of the points from the table.

(0,-5)

Replace into the inequalities and see which is not true.

a.

`\begin{gathered} y>x-6 \\ -5>0-6 \\ -5>-6 \end{gathered}`

The inequality is true.

b.

`\begin{gathered} y<(2)/(5)x+7 \\ -5<0+7 \\ -5<7 \end{gathered}`

The inequality is true.

c.

`\begin{gathered} y<-(3)/(4)x+3 \\ -5<0+3 \\ -5<3 \end{gathered}`

The inequality is true.

d.

`\begin{gathered} y<-(2)/(3)x-6 \\ -5<0-6 \\ -5<-6\Rightarrow FALSE \end{gathered}`

The inequality is false, which means that this expression could not be the expression tyler wrote for the table.