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Identify the sets that contain 2 as an element. (Check all that apply.)Check All That Apply{2, 3, 4, 5, ...}{2, 3, 4, 5, ...}{0, 1, 4, 9, ...}{0, 1, 4, 9, ...}{ 2, {2} }{ 2, {2} }{ {2}, { {2} } }{ {2}, { {2} } }{ {2}, { 2, {2} } }{ {2}, { 2, {2} } }{ { {2} } }{ { {2} } }

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MrRoyal

Question:

Identify the sets that contain 2 as an element. (Check all that apply.)

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

[tex]F.\ \{\{\{2\}\}\}[/tex]

Answer:

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

Step-by-step explanation:

Required

For which of the options is 2 an element

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

The elements of this set starts from 2, then 3 and continues as thus.

Hence: 2 is an element

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

From the given elements in the above set, 2 is not listed.

Hence: 2 is not an element of this set

[tex]C.\ \{2, \{2\} \}[/tex]

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.

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

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.

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

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

[tex]F.\ \{\{\{2\}\}\}[/tex]

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

Cainjasmond

Answer:

how

Step-by-step explanation:

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