Question
upstudy study bank question image url

\begin{tabular}{l} Question \\ Which of the following correctly describes the set \( \{2 n \mid n \in \mathbb{Z}\} \) ? \\ Select the correct answer below: \\ The set of all odd integers \\ The set of all integers greater than 2 . \\ The set of all real numbers greater than 2. \\ The set of all even integers. \\ \hline\end{tabular}

Ask by Garza Ayala. in the United States
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The set consists of all even integers.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

The set \( \{2 n \mid n \in \mathbb{Z}\} \) is the set of all even integers. This is because for any integer \( n \), multiplying by 2 results in an even number. Thus, whether \( n \) is positive, negative, or zero, the output will always be an even integer like -4, 0, or 10. If you're learning about set notation, remember that understanding the operations involved helps clarify what each set represents. For example, knowing that \( \mathbb{Z} \) represents all integers and that multiplying by 2 generates even results can be a handy shortcut for identifying similar expressions!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy