Consider the following regions in the plane: \[ \begin{array}{l} R_{1}=\{(x, y):|x-y|+|x+y| \leq...

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Consider the following regions in the plane:
\[
\begin{array}{l}
R_{1}=\{(x, y):|x-y|+|x+y| \leq 8\} \\
R_{2}=\{(x, y): x y \geq 2\}
\end{array}
\]
The area of the region \( R_{1} \cap R_{2} \).
(a) \( 4(7-\ln 8) \) sq. units
(b) \( 4(9-\ln 8) \) sq. units
(c) \( 2(7-\ln 8) \) sq. units
(d) \( 2(9-\ln 8) \) sq. units
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