Natural Numbers, Integers, and Real Numbers

Practice Questions

Set Theory › Natural Numbers, Integers, and Real Numbers

Questions

Are the sets and equal?

$\T=\begin{Bmatrix} x|x\ \epsilon\ \mathbb{Z} \end{Bmatrix} \S=\begin{Bmatrix} 2n|n\ \epsilon\ \mathbb{Z} \end{Bmatrix}$

Are the sets and equal?

$\T=\begin{Bmatrix} x|x\ \epsilon\ \mathbb{Z} \end{Bmatrix} \S=\begin{Bmatrix} 1+n|n\ \epsilon\ \mathbb{Z} \end{Bmatrix}$

What is the correct expression of the relationships between the sets comprised of natural numbers, real numbers, and integers?