Question

Даны множества A=(11,13,21,31,49,55),B=(13,31,48,55)и С=(11,13,21,48).Найдите в)AUC,г)AU(ВНИЗ)С. Помогите пожалуйста

Answer 1

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Answer 2

Given Information:

The sets are as follows: - Set A = (11, 13, 21, 31, 49, 55) - Set B = (13, 31, 48, 55) - Set C = (11, 13, 21, 48)

We need to find: a) A ∪ C b) A ∪ (B ∩ C)

Solution:

a) To find the union of sets A and C (A ∪ C), we combine all the elements from both sets, removing any duplicates.

Set A = (11, 13, 21, 31, 49, 55) Set C = (11, 13, 21, 48)

The union of A and C is (11, 13, 21, 31, 48, 49, 55).

b) To find the union of set A with the intersection of sets B and C (A ∪ (B ∩ C)), we first find the intersection of sets B and C, and then combine the result with set A.

Set B = (13, 31, 48, 55) Set C = (11, 13, 21, 48)

The intersection of B and C is (13, 48).

Now, we combine the intersection (13, 48) with set A: (11, 13, 21, 31, 48, 49, 55).

Therefore, A ∪ (B ∩ C) is (11, 13, 21, 31, 48, 49, 55).

Final Answer: a) A ∪ C = (11, 13, 21, 31, 48, 49, 55) b) A ∪ (B ∩ C) = (11, 13, 21, 31, 48, 49, 55)