Question

Let X= {1,2,3}, Y= {}, Z= {1,2,3}, then which of the following is true?

(a) X⊂Y

(b) Only Y⊂X and Y⊂Z

(c) Z⊂Y

(d) Y⊂X and Y⊂Z and X⊂Z

This question was posed to me by my college professor while I was bunking the class.

My enquiry is from Subsets topic in chapter Sets of Mathematics – Class 11

Answer 1

The correct option is (d) Y⊂X and Y⊂Z and X⊂Z

For explanation: Null set is the subset of every set so Y⊂X and Y⊂Z.

Since set X is equal to set Z so, Z⊂X and X⊂Z.