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The image shows a question in Spanish asking for the elements of a set generated by the expression \( 2k - 3 \), with \( k \) taking the values \( 2, 3, 4, 5, 6 \). Let's calculate the elements for each \( k \):

1. For \( k = 2 \):
   \[
   2(2) - 3 = 4 - 3 = 1
   \]
2. For \( k = 3 \):
   \[
   2(3) - 3 = 6 - 3 = 3
   \]
3. For \( k = 4 \):
   \[
   2(4) - 3 = 8 - 3 = 5
   \]
4. For \( k = 5 \):
   \[
   2(5) - 3 = 10 - 3 = 7
   \]
5. For \( k = 6 \):
   \[
   2(6) - 3 = 12 - 3 = 9
   \]

Thus, the elements of the set are \( 1, 3, 5, 7, 9 \), which corresponds to the second option: **1, 3, 5, 7, 9**.

Let me know if you'd like further clarification or details!

Here are 5 related questions to explore further:
1. How would the set change if the expression was \( 2k + 1 \)?
2. What happens to the set if \( k \) values range from 1 to 6?
3. Can the set ever include negative numbers?
4. How do the values of \( k \) affect the set when using a different function like \( k^2 - 1 \)?
5. What patterns do you observe in the set for \( 2k - 3 \)?

**Tip**: Always check the structure of an algebraic expression to understand how it modifies the variable for each input!

¿Cuáles son los elementos del conjunto que se obtiene de la expresión 2k - 3 dándole a k los valores 2, 3, 4, 5 y 6?

Learn how to find the elements of the set generated by the expression 2k - 3, where k takes the values 2, 3, 4, 5, and 6. This problem covers key algebraic concepts suitable for students in Grades 6-8.

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