# Math Help - elements of a set

1. ## elements of a set

Hi,

what is the elements of the set below
B = {-2k/3 e Z, k e R | |k| < 9 }

My work is shown below
the range of |k| is [0,9[
the range of k is ]-9,9[
so put [-8.999... , 8.999...] into -2k/3 and I got the integers below
B = {-5,-4,-3,-2,-1,0,1,2,3,4,5}

Thank you!
Jason

2. Originally Posted by jasonmark
Hi,

what is the elements of the set below
B = {-2k/3 e Z, k e R | |k| < 9 }

My work is shown below
the range of |k| is [0,9[
the range of k is ]-9,9[
so put [-8.999... , 8.999...] into -2k/3 and I got the integers below
B = {-5,-4,-3,-2,-1,0,1,2,3,4,5}

Thank you!
Jason
$B$ is the set of integers $b$ such that $3b/2$ is in $]-9,9[$ , so:

$-9 < 3b/2 <9$

$-6 < b < 6$

which is what you have.

RonL

3. Thank you