Questions: Let K be the set of real numbers less than seventeen.
Transcript text: Let $K$ be the set of real numbers less than seventeen.
Solution
Solution Steps
To determine the set \( K \) of real numbers less than seventeen, we can define \( K \) as the set of all real numbers \( x \) such that \( x < 17 \). In Python, we can represent this set using a condition within a list comprehension or a similar construct.
Step 1: Define the Set \( K \)
The set \( K \) is defined as the set of all real numbers \( x \) such that \( x < 17 \). Mathematically, this can be expressed as:
\[ K = \{ x \in \mathbb{R} \mid x < 17 \} \]
Step 2: Demonstrate with Integers
While it is not possible to list all real numbers less than 17, we can demonstrate the concept using integers. The integers less than 17 are:
\[ K = \{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 \} \]
Final Answer
The set \( K \) of real numbers less than 17 is represented by:
\[ K = \{ x \in \mathbb{R} \mid x < 17 \} \]
For demonstration purposes with integers:
\[ \boxed{K = \{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 \}} \]