Q. 35 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 35–42, graph each system of inequalities by hand. 

$\left\{\begin{array}{l}{x}^2+y^2\le 9\\ x+y\ge 3\end{array}\right.$

Step-by-Step Solution

Answer

The graph of system of inequalities is 

Step 1. Graph of inequality x 2 + y 2 ≤ 9

The graph of the inequality $x^2+y^2\le 9$ will be a circle.

Step 2. Graph of the inequality x + y ≥ 3

To plot the graph of the inequality$x+y\ge 3$, plot the line$x+y=3$

Since $(0,0)$ does not satisfy the given inequality, therefore, it will not be included in the shaded region.

Step 3. Final Graph

The final graph will be the intersection of both the graphs.