If A = {1, a, 4}, B = {1, 3, 4}, and A = B, what is the value of a?
Answer and explanation
Correct answer: 3
Equality of sets means that both sets must contain exactly the same elements. Sets A and B already share 1 and 4, so the remaining element in A must be 3 in order to match B. Therefore a = 3. Values a = 1 or 4 would merely repeat an existing element and would fail to include 3, while a = 2 would produce a different set.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Equality of sets means that both sets must contain exactly the same elements. Sets A and B already share 1 and 4, so the remaining element in A must be 3 in order to match B. Therefore a = 3. Values a = 1 or 4 would merely repeat an existing element and would fail to include 3, while a = 2 would produce a different set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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