Chapter 5

Sketch the graph of the solution set for the following system of inequalities: $$ \begin{array}{ll}y \geq n x+b & (n<0, b>0) \\\y \leq m x+b & (m>0, b>0)\end{array} $$

Sketch the graph of the solution set for the following system of inequalities: $$ \begin{array}{r}|x+y| \leq 3 \\\|y| \leq 2\end{array} $$

Write a system of equations having \(\\{(-2,7)\\}\) as a solution set. (More than one system is possible.)

Solve the system for \(x\) and \(y\) in terms of \(a_{1}, b_{1}, c_{1}, a_{2}, b_{2}\) and \(c_{2}\) $$ \begin{array}{l} a_{1} x+b_{1} y=c_{1} \\ a_{2} x+b_{2} y=c_{2} \end{array} $$