Question

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

Answer 1

Solution

To graph the inequality,

we make y the subject of the formula;

$\begin{gathered} x+3y\ge-15 \\ \\ \Rightarrow3y\ge-x-15 \\ \\ \Rightarrow y\ge-\frac{1}{3}x-\frac{15}{3} \\ \\ y\ge-\frac{1}{3}x-5 \end{gathered}$

The inequallity is;

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