0 votes 0 votes Which one of the following statements is correct regarding the elements and subsets of the set $\{1, 2, \{1, 2, 3\}\}$? $\{1, 2\} \in \{1, 2, \{1, 2, 3\} \}$ $\{1, 2\} \subseteq \{1, 2, \{1, 2, 3\} \}$ $\{1, 2, 3\} \subseteq \{1, 2, \{1, 2, 3\} \}$ $3 \in \{1, 2, \{1, 2, 3\} \}$ Set Theory & Algebra isi2016-mmamma set-theory subsets + – go_editor asked Sep 13, 2018 • recategorized Nov 19, 2019 by Lakshman Bhaiya go_editor 335 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Anser:B A. {1,2} is subset of {1,2,{1,2,3}} B : {1,2} is subset of {1,2,{1,2,3}} C: {1,2,3} is element in set {1,2,{1,2,3}} D: 3 neither element nor subset of {1,2,{1,2,3}} Dharmendra Lodhi answered Sep 13, 2018 Dharmendra Lodhi comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Concept recap {1,2} ∈ {1,2} is false as in case of ∈ {1,2} is taken as set and entire unit should be present. {1,2} $∈$ {1,2, {1.2} } would be true. {1.2} ⊆ {1,2,3} is true as here it will be checked individually if 1 and 2 are present. Coming to the question A. {1,2} ∈ {1,2,{1,2,3}} is false as {1.2} as a whole (set) isn't there in it. B. {1,2} ⊆ {1,2,{1,2,3}} is true as both 1 and 2 are present in it. C. {1,2,3} ⊆ {1,2,{1,2,3}} is false as 3 doesn't belong to it. D. 3 { 1,2,{1,2,3}} s false as 3 doesn't belong to it. So B is correct. smsubham answered Dec 26, 2019 smsubham comment Share Follow See all 0 reply Please log in or register to add a comment.