Question:
Identify the sets that contain 2 as an element. (Check all that apply.)
Answer:
Step-by-step explanation:
Required
For which of the options is 2 an element
The elements of this set starts from 2, then 3 and continues as thus.
Hence: 2 is an element
From the given elements in the above set, 2 is not listed.
Hence: 2 is not an element of this set
Here, 2 is listed as an element, 2 is also listed as a subset.
Since 2 is listed as an element, then 2 is an element of the set.
Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.
Since 2 is not listed as an element itself, then 2 is not an element of the set.
Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.
Hence: 2 is not an element of the set
Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.
Hence: 2 is not an element of the set