Question

List the elements in each set.

Answer 1

`\{x \in \mathbb{N} | x = 2k, k \in \mathbb{N} \cap x>10 \}`

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

Explanation:

We know
`x \in \mathbb{N}`

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

But once it cannot be negative,
`x=2k, k \in \mathbb{N}`

Finally,
`x>10`

We have the set

`\{x \in \mathbb{N} | x = 2k, k \in \mathbb{N} \cap x>10 \}`