A) \[\{1,\,2,\,3\}\]
B) \[\{-1,\,2,\,3,\,1\}\]
C) \[\{0,\,1,\,2,\,3,\,4\}\]
D) \[\{-\,1,-\,2,-\,3,-\,4\}\]
Correct Answer: C
Solution :
Given, \[S=\{(a,\,b):b=|a-1|,\,a\,\in Z\] and \[|a|<3\}\] \[z\to \] set of integers. \[\therefore \] \[S=\{(-2,3),(-1,2),(0,1),(1,0),(2,1)\}\] \[\therefore \] Range of set \[(S)=\{0,1,2,3\}\] \[(\because \,|a|\,<3\,\,\Rightarrow \,\,-3<a<3)\]You need to login to perform this action.
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