Last updated at Dec. 8, 2016 by Teachoo

Transcript

Misc 1 Decide, among the following sets, which sets are subsets of one and another: A = {x: x R and x satisfy x2 8x + 12 = 0}, B = {2, 4, 6}, C = {2, 4, 6, 8 }, D = {6}. A = {x: x R and x satisfies x2 8x + 12 = 0} Solving x2 8x + 12 = 0 x2 6x -2x + 12 = 0 x (x 6) -2(x 6) = 0 x = 2, 6 A = {2, 6} Thus, A = {2, 6}, B = {2, 4, 6}, C = {2, 4, 6, 8 }, D = {6} A = {2, 6}, B = {2, 4, 6}, C = {2, 4, 6, 8 }, D = {6} A Since all elements of A are in B, A is a subset of B, i.e. A B Since all elements of A are in C , A is a subset of C. , i.e. A C B Since all elements of B are in C, B is a subset of C, i.e. B C C C is not a subset of any set. A = {2, 6}, B = {2, 4, 6}, C = {2, 4, 6, 8 }, D = {6} D Since all elements of D is in A, D is a subset of A , i.e. D A Since all elements of D are in B, D is a subset of B, i.e. D B Since all elements of D are in C, D is a subset of C, i.e. D C

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.