Question

write set builder form of A union B where a=1;2;3;4;5;6;7;8;9and10 and b=0;1;3;5;7;9​

Answer 1

A ∪ B = {x : x is an whole number less than 11}.

Solution:

Given data:

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

B = {0, 1, 3, 5, 7, 9}

Let us first determine A union B of the sets:

A ∪ B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} ∪ {0, 1, 3, 5, 7, 9}

          = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Hence A ∪ B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Now, write A ∪ B in set builder form:

A ∪ B = {x : x is an whole number less than 11}

Hence the answer is A ∪ B = {x : x is an whole number less than 11}.

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