Q1. Decide, among the following sets, which sets are subsets of one and another:
A = { x : x R and x satisfy – 8x + 12 = 0 }, B = { 2, 4, 6 },
C = { 2, 4, 6, 8, . . . }, D = { 6 }.
Solution of this equation are – 8x + 12 = 0
( x - 2 ) ( x - 6 ) = 0
X = 2,6
A = { 2,6 }
B = { 2, 4, 6 }
C = { 2, 4, 6, 8, . . . }
D = { 6 }
From the sets given above, we can conclude that A B, A C, D A, D B, D C, B C
Hence, we can say that D A B C