Answer:
Explanation:
The description you provided can be broken down as follows:
x ∈ ℕ and x ≤ 7
This describes a set of numbers, which I'll explain step by step:
x : This is the element we are considering.
| : This symbol is read as "such that."
x ∈ ℕ : This means that x is an element of the set of natural numbers. The set of natural numbers, ℕ, traditionally starts from 1 and goes on infinitely (1, 2, 3, 4,...). Some definitions include 0 in the set of natural numbers, but the traditional definition starts from 1.
and : This word indicates that both conditions on either side of it must be satisfied.
x ≤ 7 : This means that x is less than or equal to 7.
Combining all of this together, the description is:
"The set of all x such that x is a natural number and x is less than or equal to 7."
In simpler terms:
"The set of natural numbers up to and including 7."
So the set is: {1, 2, 3, 4, 5, 6, 7} assuming the traditional definition of natural numbers starting from 1. If 0 is included in the definition of natural numbers, then the set would also include 0: {0, 1, 2, 3, 4, 5, 6, 7}.