Let U = {a,b,c,d,e,f,g}, A = {a,c,e,g}, and B = {b,c,e,f}. What is A ∩ B?
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Answer and explanation
Correct answer: {c,e}
An intersection contains only elements common to both sets. Comparing A = {a,c,e,g} and B = {b,c,e,f}, the shared elements are c and e. Therefore A ∩ B = {c,e}. The elements a and g occur only in A, b and f occur only in B, and d belongs to U but to neither A nor B.
Frequently asked questions
What is the correct answer to this question?
{c,e}
Why is this the correct answer?
An intersection contains only elements common to both sets. Comparing A = {a,c,e,g} and B = {b,c,e,f}, the shared elements are c and e. Therefore A ∩ B = {c,e}. The elements a and g occur only in A, b and f occur only in B, and d belongs to U but to neither A nor B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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