Let U be the universal set and A, B, C, the subsets of U such that
U= {x|x £ Z; 0<x<=30}
A= {U{all primes}}, B= {all multiples of 3}, C= {1, 2, 5, 8, 9, 12, 15}
To find the elements in each subset, we need to consider the specific properties of each subset.
A = {all primes}
The primes in the universal set U = {x|x £ Z; 0<x<=30} are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Therefore, A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}.
B = {all multiples of 3}
The multiples of 3 in the universal set U = {x|x £ Z; 0<x<=30} are 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30. Therefore, B = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30}.
C = {1, 2, 5, 8, 9, 12, 15}
C contains the specific elements 1, 2, 5, 8, 9, 12, and 15.
Therefore,
A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
B = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30}
C = {1, 2, 5, 8, 9, 12, 15}