Question

A set $Y$ is set of all integers $k$ greater than $-10$ and less than $5$ can be represented as:

• A. $Y=\{-10,-9,-8,...,3,4,5\}$
• B. $Y=\{-9,-8,-7,-6,...,2,3,4\}$
• C. $Y=\{k:k>-10\&k<5\&k\in I\}$
• D. $Y=\{k:k<-10\&k>5\&k\in I\}$

Answer 1

Answer: (B), (C)

$Y=\{k:k>-10\&k<5\&k\in I\}$

Given the set $Y$ having integral elements $k$ such that $k>-10$ and $k<5.$
We can represent the set in Roster form as $Y=\{-9,-8,-7,-6,...,2,3,4\}$
and in Set-builder form as:
$Y=\{k:k>-10\&k<5\&k\in I\}$