Final Answer:
The set B can be expressed in set-builder notation as B = 7 ≤ x ≤ 14, x ∈ Z.
Step-by-step explanation:
In set-builder notation, we define the set by specifying the properties or conditions that its elements must satisfy. For set B, the elements are integers (Z) between 7 and 14, inclusive. The notation B = 7 ≤ x ≤ 14, x ∈ Z reads as "B is the set of all x such that x is between 7 and 14, including both, and x is an integer."
This notation provides a concise and precise way to represent the set B, making it clear that it consists of the integers from 7 to 14.
In mathematical terms, the set-builder notation is a powerful tool for defining sets with specific characteristics, allowing for a compact representation that is easily understood. In this case, it effectively communicates the range and type of elements in set B.