Question

Use sets to verify that 8>6. Here is how I answered this question: I will use sets A and B with eight and six elements. A={8,7,6,5,4,3,2,1} B={6,5,4,3,2,1}. Using the symbol 8 to represent n(A) and the symbol 6 to represent n(B), I will write 8>6 (read eight is greater than six). The set that runs out of elements is said to have fewer elements than the other set, and its whole number is less than that of the other set. For B and A , I write 6<8 (read six is less than eight). Is this right on my explanation? Thanks.