If U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5}, and B = {2, 3, 4}, what is A ∪ B?
Answer and explanation
Correct answer: {1, 2, 3, 4, 5}
The union A ∪ B contains every distinct element that belongs to A or B. Combining A = {1, 3, 5} with B = {2, 3, 4} gives {1, 2, 3, 4, 5}; the repeated element 3 is written only once. Although U is the universal set for the situation, elements 6 and 7 are not in either A or B, so they are not included in the union.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 5}
Why is this the correct answer?
The union A ∪ B contains every distinct element that belongs to A or B. Combining A = {1, 3, 5} with B = {2, 3, 4} gives {1, 2, 3, 4, 5}; the repeated element 3 is written only once. Although U is the universal set for the situation, elements 6 and 7 are not in either A or B, so they are not included in the union.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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