Question

Найдите: AUB, A∩B, A\B, B\A, если: a) A={-2, -5, 3, 7, 9} B={-5, 3, 7, 9}; б) A={a, b, m, n} B={b, c, d, m, n, t};

Answer 1

а)АUB={-2,-5,3,7,9} AΠB={-5,3,7,9} A\B={-2} B\A={∅}  б)АUB={a,b,c,d,m,n,t} AΠB={b,m,n} A\B={a} B\A={c,t}

Answer 2

a) A = {-2, -5, 3, 7, 9}, B = {-5, 3, 7, 9}

To find the union (A ∪ B), we need to combine all the elements from both sets A and B, without any duplicates. The union includes all the elements that are in either set A or set B, or in both.

A ∪ B = {-2, -5, 3, 7, 9}

To find the intersection (A ∩ B), we need to identify the elements that are common to both sets A and B. The intersection includes only the elements that are present in both sets.

A ∩ B = {3, 7, 9}

To find the set difference (A \ B), we need to identify the elements that are in set A but not in set B. The set difference includes all the elements from set A that are not present in set B.

A \ B = {-2}

To find the set difference (B \ A), we need to identify the elements that are in set B but not in set A. The set difference includes all the elements from set B that are not present in set A.

B \ A = {-5}

b) A = {a, b, m, n}, B = {b, c, d, m, n, t}

To find the union (A ∪ B), we need to combine all the elements from both sets A and B, without any duplicates. The union includes all the elements that are in either set A or set B, or in both.

A ∪ B = {a, b, c, d, m, n, t}

To find the intersection (A ∩ B), we need to identify the elements that are common to both sets A and B. The intersection includes only the elements that are present in both sets.

A ∩ B = {b, m, n}

To find the set difference (A \ B), we need to identify the elements that are in set A but not in set B. The set difference includes all the elements from set A that are not present in set B.

A \ B = {a}

To find the set difference (B \ A), we need to identify the elements that are in set B but not in set A. The set difference includes all the elements from set B that are not present in set A.

B \ A = {c, d, t}