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Questions › DSE › DSE 2007 › Q47
2 marksMathematics › Sets, relations and functions › Sets and set operationsModerateabout 3 min

DSE 2007 Question 47: Sets, relations and functions

Given sets X, Y, let X×Y={(x,y)∣x∈X and y∈Y}X\times Y=\{(x,y)\mid x\in X\text{ and }y\in Y\}X×Y={(x,y)∣x∈X and y∈Y} and X−Y={x∈X∣x∉Y}X-Y=\{x\in X\mid x\notin Y\}X−Y={x∈X∣x∈/Y}. Which of the following formulae is generally correct for sets A, B and C?

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Given sets X, Y, let X× Y={(x,y)| x∈ X and y∈ Y} and X-Y={x∈ X| x∉ Y}. Which of the following formulae is generally correct for sets A, B and C? (A) (A-B)× C=(B× C)-(A× C) (B) (A-B)× C=(A× C)-(B× C) (C) (A-B)× C=(A× C)-B (D) (A-B)× C=A-(B× C)

Also written as: Given sets X, Y, let X* Y={(x,y)| x in X and y in Y} and X-Y={x in X| x not in Y}. Which of the following formulae is generally correct for sets A, B and C?

Sets, relations and functions has come up 65 times in 6 exams since 2004.

What this question tests

This question is on Sets and set operations, part of Sets, relations and functions in Mathematics.

Unions, intersections, complements and differences of sets, and the identities that connect them.

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Question from the DSE 2007 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.