## Precalculus (6th Edition) Blitzer

We know that a solution is a coordinate or an ordered pair that must satisfy all the linear inequalities of a system. Let us consider a system of inequalities as given below: \begin{align} & x\ge 0 \\ & y\ge 0 \\ \end{align} The solution of this system of inequalities that satisfies both inequalities will be in the first quadrant of the coordinate plane because it contains all positive values of the x and y axes. Thus, a solution of a system of inequalities contains the coordinates that must satisfy all the inequalities.