Different Notations for Number Sets

Project ID: 
7200020170
Accepted: 
SubArea: 
Type: 
Layout: 
Question: 
The letter $\mathbb{R}$ denotes the set of all real numbers, $\mathbb{Z}$ denotes the set of all integers, and the letter $\mathbb{N}$ denotes the set of all natural numbers, i.e., the set of all positive integers. Finally, $\mathbb{N}_0$ denotes the set of all nonnegative integers. Match the sets that are equal.
Questions Title: 
Set notation
Answers Title: 
Set
Question 1: 
$ \{x \in \mathbb{N}: x < 0 \} $
Answer 1: 
$\emptyset$
Question 2: 
$ \{x \in \mathbb{Z}: |x|\leq 1 \} $
Answer 2: 
$\{-1,0,1\}$
Question 3: 
$ \{x \in \mathbb{N}_0: x < 1 \} $
Answer 3: 
$\{0\}$
Question 4: 
$ \{x \in \mathbb{R}: |x-1| < 2 \} $
Answer 4: 
$(-1;3)$
Question 5: 
$ \{x \in \mathbb{N}: x < 9 \} $
Answer 5: 

$\{1,2,3,4,5,6,7,8\}$

Question 6: 
$ \{x \in \mathbb{Z}: |x+3| < 3 \} $
Answer 6: 
$\{-5,-4,-3,-2,-1\}$