Is N a subset of I

N-{1,2,3,4,5...} I-{-2,-1,0,1,2,3,4...} A set with "n" elements, has 2^n subsets

a. {1,2,3,4,5,6} 2^6= 64

b.{4,5,6,7,8....15} 2^12=4096

c. {} 2^0=1 subset {} U= {0,1,2,3,4,5,6,7,8,9}

A= {1,3,4,5,7}

B= {2,3,4,5,6}

C= {0,2,4,6,8,9}

A'

B'

C'

(A(intersect)B)'

A'(intersect)B'

A'UB'

AU(B(intersect)C) A'= {0,2,6,8,9}

B'= {0,1,7,8,9}

C'= {1,3,5,7}

(A(intersect)B)'= {0,1,6,2,7,8,9}

A'(intersect)B'= {0,8,9}

A'UB'= {0,1,2,6,7,8,9}

AU(B(intersect)C)= {1,2,3,4,5,6,7} {2,3,5,7,11,13, 17, 19, 23, 29,31, 37, 41, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}