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QUESTION IMAGE

select \\subseteq or \ subseteq for the blank so that the resulting sta…

Question

select \subseteq or \
subseteq for the blank so that the resulting statement is true.\
{wednesday, sunday} \underline{\hspace{1cm}} {monday, tuesday, wednesday, thursday, friday}\
\
choose the correct answer below.\
\bigcirc a. \
subseteq\
\bigcirc b. \subseteq

Explanation:

Step1: Recall Subset Definition

A set \( A \) is a subset (\( \subseteq \)) of \( B \) if every element of \( A \) is in \( B \). If any element of \( A \) is not in \( B \), then \( A
subseteq B \) (denoted \(
subseteq \)).

Step2: Check Elements

  • Set \( A = \{ \text{Wednesday}, \text{Sunday} \} \)
  • Set \( B = \{ \text{Monday}, \text{Tuesday}, \text{Wednesday}, \text{Thursday}, \text{Friday} \} \)
  • Element "Sunday" in \( A \) is not in \( B \). Thus, \( A \) is not a subset of \( B \), so we use \(

subseteq \).

Answer:

A. \(
subseteq \)