For the following assume A B above are embedded in a larger

For the following, assume A & B above are embedded in a larger space I = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}. Write out where each number goes to. Assume A is the circle on the LEFT. B is the circle on RIGHT and I is outside of these circles. Find B\' (The complement of B) Find B\' A

Solution

given I={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A={3,6,7,8,10,12}

B={2,3,7,12,14}

B\'=I-B

B\'={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}-{2,3,7,12,14}

B\'={1,4,5,6,8,9,10,11,13,15}

B\'nA={1,4,5,6,8,9,10,11,13,15}n{3,6,7,8,10,12}

B\'nA={6,8,10}