Question

A set $Y$ containing all elements $x$ such that $x$ is a whole number less than $10$ can be represented in Set-builder form as:

• A. $Y=\{x:x<11\&x\in W\}$
• B. $Y=\{x:x<10\&x\in W\}$
• C. $Y=\{x:x>10\&x\in W\}$

Answer 1

The correct option is B $Y=\{x:x<10\&x\in W\}$

We have $Y$ is a set of all whole numbers $x$ such that $x<10.$
In roster form, we can express it as: $Y=\{0,1,2,3,\cdots ,9\}$
So, in set builder form, we can write it as:
$Y=\{x:x<10\&x\in W\}$, where $W$ denotes the set of "Whole Numbers".