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Subjects

If A = {2, 5, 8, 11} and B = {1, 5, 8, 14}, which is B \ A?

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Answer and explanation

Correct answer: {1, 14}

For B \ A, retain elements of B that are not present in A. B contains 1, 5, 8, and 14. Since 5 and 8 also occur in A, remove them; 1 and 14 do not occur in A, so they remain. Thus B \ A = {1, 14}, which is option C. Option B is the intersection, option A comes from A \ B, and option D includes elements that should not be retained.

Tags

setsset-differenceorder-of-subtractionintersectiondifference-operationOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

{1, 14}

Why is this the correct answer?

For B \ A, retain elements of B that are not present in A. B contains 1, 5, 8, and 14. Since 5 and 8 also occur in A, remove them; 1 and 14 do not occur in A, so they remain. Thus B \ A = {1, 14}, which is option C. Option B is the intersection, option A comes from A \ B, and option D includes elements that should not be retained.

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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