Respuesta :

Answer:

[tex]\{x \in \mathbb{N} | x = 2k, k \in \mathbb{N} \cap x>10 \}[/tex]

x is a number that satisfies two conditions: is even and greater than 10.

Step-by-step explanation:

We know [tex]x \in \mathbb{N}[/tex]

Also,  once [tex]x[/tex] is an even number, we can represent it as [tex]x=2k, k \in \mathbb{Z}[/tex]

But once it cannot be negative,  [tex]x=2k, k \in \mathbb{N}[/tex]

Finally, [tex]x>10[/tex]

We have the set

[tex]\{x \in \mathbb{N} | x = 2k, k \in \mathbb{N} \cap x>10 \}[/tex]