Questions: Let K be the set of real numbers less than seventeen.

Let K be the set of real numbers less than seventeen.
Transcript text: Let $K$ be the set of real numbers less than seventeen.
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Solution

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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: \[ \boxed{K = \{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 \}} \]

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