Let $A=\{(x, y) \in R imes R:|x+y| \geq 3\}$ and $B=\{(x, y) \in R imes R:|x|+|y| \leq 3\}$. If

Question

Let $A=\{(x, y) \in R 	imes R:|x+y| \geq 3\}$ and $B=\{(x, y) \in R 	imes R:|x|+|y| \leq 3\}$. If $C=\{(x, y) \in A \cap B: x=0$ or $y=0\}$, then $\sum_{(x, y) \in C}|x+y|$ is:\

Professor PC Thomas Classes · Answer

(b): We have, $A=\{(x, y) \in R 	imes R$ : $|x+y| \geq 3\}$ and $B=\{(x, y) \in R 	imes R:|x|+|y| \leq 3\}$.\ From given figure, we get $C=\{(3,0),(-3,0)$, $(0,3),(0,-3)\}$\ $\sum_{(x, y) \in C}|x+y|=12$\