practise ex 9b

in muelight •  7 years ago 

Find the set B\A and A\B in the following.
(a) A = { 1,2,3,4,5,6} , B = { 3,5} (b) A = { p,q,r,s} , B = { x,y,z}
(c) A = { 1,2,3} , B = { 1,2,3,4}

  1. S = the set of natural numbers and T = the set of positive even numbers. Describe in words
    the complement of T.
  2. Let S = {1,2,3,4,5,6,7,8,9} and A = { 1,2,3,4,5}, B = { 2,4,6,8}. Find (a) A^' (b) B^'
    (c) A^'∩B^' (d) A∪B (e) (A∪B)^' what can you say about A^'∩B^' and (A∪B)^'?
  3. S = {1,2,3,4,5,6,7,8}, A = {1,2,3,5,7}, B = {1,3,5,7}, C = {2,4,6,8}
    (i) List the sets A^', B^'and C^'.
    (ii) State whether each of the following is true or false.
    (a) A∩A^'=∅ (b) A∪A^'=∅ (c) A⊂B (d) B⊂A
    (e) A^'⊂B^' (f) B^'⊂A^' (g) B^'=C (h) B⊂C^'
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