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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 17

If A = {x : x is a letter of the English word ALGEBRA} and B = {x : x is a letter of the English word GEOMETRY}, what is A ∪ B?

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Answer and explanation

Correct answer: {A, B, E, G, L, M, O, R, T, Y}

The distinct letters of ALGEBRA are {A, L, G, E, B, R}, while the distinct letters of GEOMETRY are {G, E, O, M, T, R, Y}. A union B contains every element appearing in either set, with repeated letters written only once. Therefore, A ∪ B = {A, B, E, G, L, M, O, R, T, Y}.

Tags

setsunionroster-formlettersoperations-on-setsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

{A, B, E, G, L, M, O, R, T, Y}

Why is this the correct answer?

The distinct letters of ALGEBRA are {A, L, G, E, B, R}, while the distinct letters of GEOMETRY are {G, E, O, M, T, R, Y}. A union B contains every element appearing in either set, with repeated letters written only once. Therefore, A ∪ B = {A, B, E, G, L, M, O, R, T, Y}.

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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