List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}
A) $\varnothing$ {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
B) $\varnothing$ {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
C) $\varnothing$ {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
D) $\varnothing$ {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}
E) $\varnothing$ {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: $\varnothing$ {6, 7, 8, 9}

Question

Quizplus · Accepted Answer

An improper subset of a set is the set itself, which in this case is {6, 7, 8, 9}. Choice C correctly lists all subsets of the given set, including the empty set ($\varnothing$), and correctly identifies the improper subset.

List All Subsets of the Given Set ∅\varnothing∅ {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}

List All Subsets of the Given Set $\varnothing$ {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}