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If A = {2, 4, 6, 8} and B = {6, 8, 10, 12}, what is A ∪ B?

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Answer and explanation

Correct answer: {2, 4, 6, 8, 10, 12}

The union A ∪ B contains every distinct element that belongs to A or B, or to both. Combining A = {2, 4, 6, 8} with B = {6, 8, 10, 12} gives 2, 4, 6, 8, 10, and 12. The repeated elements 6 and 8 are written only once because a set does not list duplicate elements. Hence option A is correct.

Related tags

SetsUnionDistinct ElementsOperations On SetsMathematicsClass 12 Mcq

Frequently asked questions

What is the correct answer to this question?

{2, 4, 6, 8, 10, 12}

Why is this the correct answer?

The union A ∪ B contains every distinct element that belongs to A or B, or to both. Combining A = {2, 4, 6, 8} with B = {6, 8, 10, 12} gives 2, 4, 6, 8, 10, and 12. The repeated elements 6 and 8 are written only once because a set does not list duplicate elements. Hence option A is correct.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Sets.

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