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.
[tex]\begin{gathered} y>x-6 \\ -5>0-6 \\ -5>-6 \end{gathered}[/tex]
The inequality is true.
b.
[tex]\begin{gathered} y<\frac{2}{5}x+7 \\ -5<0+7 \\ -5<7 \end{gathered}[/tex]
The inequality is true.
c.
[tex]\begin{gathered} y<-\frac{3}{4}x+3 \\ -5<0+3 \\ -5<3 \end{gathered}[/tex]
The inequality is true.
d.
[tex]\begin{gathered} y<-\frac{2}{3}x-6 \\ -5<0-6 \\ -5<-6\Rightarrow FALSE \end{gathered}[/tex]
The inequality is false, which means that this expression could not be the expression tyler wrote for the table.
