# Math

posted by .

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).

• Math -

Without using the formal definition of the integers and of the numbers 6 and 8, you can't prove that 8 > 6. Any demonstration that doesn't use the definitions will end up using what it is supposed to verify.

So, in your case, if you don't use the fact that 8 > 6, you can't construct the sets A and B in the first place. E.g., you could just as well have defined:

A = {8,7,6,5,4,3,2,1}

B= {8,5,4,3,2,1}

Then, analogous to your proof, I can use the symbol 6 to represent n(A) and the symbol 8 to represent n(B).

Then B is a subset of A, so you could say that 8 < 6.

• Math -

Thanks for the help.

## Similar Questions

1. ### math

For the universal set U= {0,1,2,3,4,5,6,7} And the sets A={1,5}, B={1,2,3,4} And C= {4, 6} lists the elements in the following Sets. a. A ¿ B b. A U Bf c. A ¿(B U C) d. C ¿ (B ¿ A)f I assume your funny symbol is "∩", …
2. ### College Math

a)Consider the formula n (A U B) = n (A) + - n (A ¿ B). (a) Show that this relation holds for A = {1, 2, 3, 4} and B= {2, 4, 5, 6, 7, 8} (b) Make up your own two sets A and B, each consisting of at least six elements. Using these …
3. ### Math

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), …
4. ### college math for teachers

Use the following sets to complete the givien statements in as many ways as possible. a= a,b,c,d b= e,f c=b,a,c,d d= 1,2,3,4 A. Sets _ and _ are not equivalent and not equal B. Sets _ and _ are not equivalent but are equal. C. Sets …
5. ### math

Use sets to verify that 8>6
6. ### allied health

I want to say D. Not sure here Which of the following is true in regard to limited data sets?
7. ### health

Which of the following is true in regard to limited data sets?
8. ### allied health

which of the following is true in regard to limited data sets> a. Patients must authorize the use of limited data sets. b. those who receive limited data sets can pass them on without restrictions c. limited data sets can't include …
9. ### math

evaluate the expressions below and leave them in radical form. 1. sin(pie symbol/6)csc(pie symbol/6) 2. sec(pie symbol/3)cos(pie symbol/3)+tan(pie symbol/3)cot(pie symbol/3)
10. ### Math

Find the number of elements in A1∪A2∪A3, supposing that there are 103 elements in A1, 992 elements in A2, 10011 elements in A3, in each of the following situations: (a) The sets are pairwise disjoint, that is, no pair has …

More Similar Questions