43.9k views
4 votes
True false is the following statement always true for any two sets a and b? if a = b, then a ⊆ b.

1 Answer

2 votes

Final answer:

No, the statement is not always true for any two sets A and B. If A = B, it means that every element in A is also in B. However, it does not necessarily mean that every element in B is in A. Therefore, A may not be a subset of B.

Step-by-step explanation:

No, the statement is not always true for any two sets A and B. If A = B, it means that every element in A is also in B. However, it does not necessarily mean that every element in B is in A. Therefore, A may not be a subset of B. For example, let A = {1, 2} and B = {1, 2, 3}. Here, A = B, but A is not a subset of B because 3 is in B but not in A.

User Toby Collins
by
8.1k points