Question

What is the inequality on a graph with the boundary line x+3y=-15

Answer 1

To graph the inequality,

we make y the subject of the formula;

`\begin{gathered} x+3y\ge-15 \\ \\ \Rightarrow3y\ge-x-15 \\ \\ \Rightarrow y\ge-(1)/(3)x-(15)/(3) \\ \\ y\ge-(1)/(3)x-5 \end{gathered}`

The inequallity is;

`\begin{gathered} \ge \\ \\ That\text{ is} \\ x+3y\ge-15 \end{gathered}`