Question 8.3.6: Sketch the graph of the system. {x²+y² ≤ 16 x+y ≥ 2...
Sketch the graph of the system.
\left\{\begin{array}{c}x^2+y^2 \leq 16 \\x+y \geq 2\end{array}\right.
The graphs of x²+y²=16 and x+y=2 are the circle and line, respectively, shown in Figure 9. Using the test point (0, 0), we see that the points that yield solutions of the system must lie inside (or on) the circle and also above (or on) the line. This gives us the region sketched in Figure 9.
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