Question

chapter 1 quiz
due wednesday by 11:59pm points 100 submitting an external tool
3 chapter 1 quiz
score: 0/100 answered: 0/15
question 1
select the correct choice below.
{2,4,6} ⊆ {1,2,…,10}
{2,4,6} ⊈ {1,2,…,10}
submit question

Explanation:

Step1: Recall subset definition

A set \( A \) is a subset of a set \( B \) (denoted \( A \subseteq B \)) if every element of \( A \) is also an element of \( B \).

Step2: Check elements of \(\{2,4,6\}\)

The set \(\{1,2,\dots,10\}\) includes all integers from 1 to 10. The elements of \(\{2,4,6\}\) are 2, 4, and 6, all of which are in \(\{1,2,\dots,10\}\). So \(\{2,4,6\} \subseteq \{1,2,\dots,10\}\) is true, and \(\{2,4,6\}
ot\subseteq \{1,2,\dots,10\}\) is false.

Answer:

\(\boldsymbol{\{2,4,6\} \subseteq \{1,2,\dots,10\}}\) (the option with this statement is correct)