Question

Use The Variable X To Write A Set An Set Builder Notation. Let G Be The Set Of Natural Numbers Less Than Or Equal To Fifteen

Answer 1

The set G of natural numbers less than or equal to fifteen is written in set builder notation as G = x ∈ ℕ, x ≤ 15, where x is the variable representing the elements of the set.

Step-by-step explanation:

To write the set G of natural numbers less than or equal to fifteen using set builder notation and the variable x, you can express it as follows: G = x ∈ ℕ, x ≤ 15.

In this notation, G is the set we're defining. The vertical bar '|' means 'such that', and the symbol '∈' means 'is an element of'. The symbol 'ℕ' represents the set of natural numbers. Hence, the notation states that G includes all the natural numbers x, such that x is less than or equal to fifteen.

Step by step explanation:

1. Identify the requirement: We need the natural numbers less than or equal to fifteen.
2. Choose the variable to represent the elements of the set, in this case, x.
3. Use the set builder notation format: condition.
4. Combine the elements: x is a natural number, and x ≤ 15.