Express each set in set-builder notation:

Set D is the set of natural numbers between 27 and 51, inclusive.

D:{x∈N:27≤x≤51}

or
D:{x∈N:x≥27∧x≤51}

even numbers between 4 inclusive and 10 inclusive

Set D = {x | 27 ≤ x ≤ 51 and x ∈ N}

To express the set D in set-builder notation, we first need to identify the condition that the numbers in the set must satisfy. In this case, the condition is that the numbers must be natural numbers between 27 and 51, inclusive.

Set-builder notation usually consists of three parts: the variable, the condition, and the range of values for the variable.

Let's assume x represents the variable for the natural numbers in set D. The condition can be stated as follows: x is a natural number greater than or equal to 27 and less than or equal to 51.

Therefore, the set D in set-builder notation can be expressed as:
D = {x | x is a natural number, 27 ≤ x ≤ 51}

This notation indicates that D is the set of natural numbers x for which 27 ≤ x ≤ 51.