What are integer elements of set B is they have the property |x-2|

To discover the elements of the set, we'll have to solve
the inequality. We'll recall the property of absolute
value:

|x|<c <=> -c < x
< c

According to this property, we'll
have:

-3 < x - 2 <
3

We'll solve the left
inequality:

-3 < x -
2

We'll isolate x to the
right:

-3 + 2 < x

-1
< x

We'll solve the right
inequality:

x - 2< 3

x
< 3 + 2

x <
5

The integer element located between -1 and 5, except the
values -1 and 5, are: {0 , 1 , 2 , 3 ,
4}.

Therefore, the elements of the set B,
whose property is |x - 2|<  3 are {0 , 1 , 2 , 3 ,
4}.