Question
Use set builder notation to express the set of squares of integers between 1 and 1000 exclusively, i.e not including 1 and
1000 .
Select the correct answer below:
\{ \( n^{3} \mid n \in \mathbb{Z} \) and \( \left.1
Ask by Bowers Wells. in the United States
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Mind Expander
The correct expression in set builder notation for the set of squares of integers between 1 and 1000 exclusively is \( \{ n^{2} \mid n \in \mathbb{Z} \text{ and } 1 < n < 32 \} \). This is because the squares of the integers from 2 to 31 (since \( 31^2 = 961 \) which is less than 1000) will yield the desired set of squares—specifically, \( 2^2 \) to \( 31^2 \). Now let’s move on to some fun tidbits! Did you know that the earliest known use of squares can be traced back to ancient Egypt, where they used geometric forms in their practical mathematics? It’s fascinating to think about how these concepts laid the groundwork for modern theories! Also, if you’re looking to explore more about sets, consider diving into the world of functional notation and exploring how these foundational concepts are applied in computer science and data structures! It can be really eye-opening to see how abstract mathematical ideas find their way into programming and algorithms!
