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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 10

If \(A=\{1,2,3,4,5\}\), \(B=\{3,4,5,6\}\), and \(C=\{5,6,7\}\), what is the value of \((A-B)\cup(B-C)\)?

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Answer and explanation

Correct answer: \(\{1,2,3,4\}\)

First find each difference separately. In \(A-B\), retain elements of A absent from B, giving \(\{1,2\}\). In \(B-C\), retain elements of B absent from C, giving \(\{3,4\}\), because 5 and 6 belong to C. Their union is \(\{1,2\}\cup\{3,4\}=\{1,2,3,4\}\). Hence option A is correct.

Tags

setsset differenceunionoperationsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

\(\{1,2,3,4\}\)

Why is this the correct answer?

First find each difference separately. In \(A-B\), retain elements of A absent from B, giving \(\{1,2\}\). In \(B-C\), retain elements of B absent from C, giving \(\{3,4\}\), because 5 and 6 belong to C. Their union is \(\{1,2\}\cup\{3,4\}=\{1,2,3,4\}\). Hence option A is correct.

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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