Brandon Sembera posted Jan 22, 2023 10:47 PM
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Having browsed online, I’ve seen ads for Amazon, Ford, and Newegg. Some online retailers that I’ve purchased from are Amazon, Walmart, and Lowe’s. Therefore:
A = {Amazon, Ford, Newegg}
B = {Amazon, Walmart, Lowe’s}
Cardinality of set A: n(A)=3, therefore m=3
Cardinality of set B: n(B)=3, therefore n=3
First & last elements of set A: a[1]=Amazon, & a[3]=Newegg
First & last elements of set B: b[1]=Amazon & b[3]=Lowe’s
A trace table illustrates how both sets are related:

Set A

1

2

3

Set B

1

1

1

found

yes

no

no

answer

A⊆B

A⊄B

A⊄B

The table illustrates a portion of the trace, where one intersection exists: Amazon. Otherwise, if the trace continues, no other intersections can be found. Overall, set A cannot be a subset of set B due to sharing only one element with each other.

Jay Wilt posted Jan 21, 2023 8:17 PM
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Hello Everyone,
1.
            Set A: Xfinity-NY Times, USAA-I Heart eating, The Nature Conservatory-PC Gamer
            Set B: Target, Amazon, Walmart, Food Lion
2.
            m= 3
            n= 4
            a[1]=Xfinity
            a[m]=The Nature Conservatory
            b[1]=Target
            b[n]=Food Lion
3.

I

 

 

 

 

1

2

3

J

1

2

3

4

 

 

 

Found

No

No

No

No

No

No

No

4.
            My algorithm shows that A ⊈ B. They are completely unrelated in every aspect somehow. This is a nightmare and I hope I have done this right.
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