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.
Yes, your explanation is correct. You used sets A and B to represent the numbers 8 and 6 respectively. By comparing the number of elements in each set, you found that set A (with 8 elements) has more elements than set B (with 6 elements). Therefore, you correctly stated that 8 is greater than 6, and represent this as 8>6. Additionally, you correctly stated that 6 (number of elements in set B) is less than 8 (number of elements in set A), and represent this as 6<8. Well done!
Yes, your explanation is correct. By using sets to represent the elements, you have demonstrated that set A has more elements than set B, which confirms that 8 is greater than 6. Additionally, you correctly stated that when one set runs out of elements before the other, it signifies that it has fewer elements and a whole number less than the other set.
