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Determine the elements of the set S
The elements have the property |x-1|=<4 . The elements are in Z set.
Solution
S = {x: |x-1| + < 4 and the elements are in z(or integers.)
To find the elements of S.
|x-1| =< 4
So,
-4 <= x-1 =< 4. Add 1.
-4+1 < = x =< 4+1
-3 <= x =< 5. Since x is also integer, therefore S = {-3,-2,-1,-0, 1,2,3,4,5}

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