Answer:
A ∩ C = {0, 3, 1, 1.3, 2, 3, 4, 5, 2}
A ∩ B = {3, 1, 2, 4, 5}
Explanation:
Given that A = {0, 3, 1, 1.3, 2, 3, 4, 5, 2}
B = the set of all Natural numbers
C= the set of all Rational numbers
So set C contains numbers that can be expressed as the ratio of two integers. Since numbers in A can be expressed as follows:
0 = 0/1, 3 = 3/1, 1 = 1/1, 1.3 = 13/10, 2 = 2/1, 4 = 4/1, 5 = 5/1
Then, A ∩ C = {0, 3, 1, 1.3, 2, 3, 4, 5, 2}.
A ∩ B = {3, 1, 2, 4, 5}, since B contains only Natural numbers = {1, 2, 3, ...}.