Set Theory and Algebra MCQ - Sets

141:  

Which of the following set is closed under addition, subtraction and multipication?

A.

A = {x │x = 2ⁿ , n ϵ N}

B.

B ={x │x = 3n , n ϵ N}

C.

C ={x │x = 3n , n ϵ Z}

D.

All of these

 
 

Option: C

Explanation :

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142:  

If X, Y, Z are sets such that X  Y and Y  Z, then

A.

∪ Y = Z

B.

∩ Y = Z

C.

∩ ∩ Z = Z

D.

None of these

 
 

Option: D

Explanation :

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