If X = {1, 3, 5, 7} and Y = {3, 7, 9}, find Y − X.
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Answer and explanation
Correct answer: {9}
Y − X contains elements that are in Y but not in X. The elements of Y are 3, 7, and 9. Since 3 and 7 also belong to X, they must be removed. The element 9 is not in X, so it remains. Consequently, Y − X = {9}. The set {3, 7} is Y ∩ X, while {1, 5} belongs to X − Y, not Y − X.
Frequently asked questions
What is the correct answer to this question?
{9}
Why is this the correct answer?
Y − X contains elements that are in Y but not in X. The elements of Y are 3, 7, and 9. Since 3 and 7 also belong to X, they must be removed. The element 9 is not in X, so it remains. Consequently, Y − X = {9}. The set {3, 7} is Y ∩ X, while {1, 5} belongs to X − Y, not Y − X.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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