Quandaries
and Queries 

Name : Muhammad Status : Student. Level : Secondary. QUESTION: Let A be a set and let B = {A,{A}}. (a) Explain the elements of set B (with some example) (b) Prove that A is not a subset of B. 

Hi Muhammad, B is a set with two elements. They are listed in the description of B. The two elements of B are A and {A}. For example if A={1,2,3} then the two elements of B are {1,2,3} and {{1,2,3}}. I just took the letter A in the third sentence and replaced it by {1,2,3}. If A is a subset of B then every element of A is also an element of B. 1 is an element of A. Is 1 an element of B? Penny


