Question

When are two sets said to be equivalent ? Give an
example.​

Answer 1

Answer:

One way to prove that two sets are equal is to use Theorem 5.2 and prove each of the two sets is a subset of the other set. In particular, let A and B be subsets of some universal set. Theorem 5.2 states that A=B if and only if A⊆B and B⊆A.

Answer 2

Step-by-step explanation:

Two sets are equal when they have exactly the same elements, and sets are equivalent when a one-to-one correspondence can be set up between the two sets.

EXAMPLE'S

Example: {1,2,3,4} and {3,4,2,1} are equal. Note: it must work both ways, each element of the 1st set must be in the 2nd set and each element of the 2nd set must be in the 1st set