Let U = { New York (NY), Illinois (IL), Arizona (AZ), Kansas (KS), California (CA), Texas (TX), Virginia (VA), Maryland (MD), Florida (FL) } D = {NY, IL, AZ, VA} E = { NY, IL, AZ, VA, FL } F = {AZ, CA, TX, FL } a. Is D ⊂ E? Why or why not? b. Is D ⊆ U? Why or why not? c. Is F ⊆ F? Why or why not? d. Is F equivalent to D? Why or why not? e. How many subsets does the Universal Set U have?

Question

Let U = { New York (NY), Illinois (IL), Arizona (AZ), Kansas (KS), California (CA), Texas (TX), Virginia (VA), Maryland (MD), Florida (FL) }  D = {NY, IL, AZ, VA} E = { NY, IL, AZ, VA, FL } F = {AZ, CA, TX, FL }   a.	Is D ⊂ E? Why or why not?  b.	Is D ⊆ U? Why or why not?  c.	Is F ⊆ F? Why or why not?  d.	Is F equivalent to D? Why or why not?  e.	How many subsets does the Universal Set U have?

zzr0ck3r · Answer

If A is a subset of B then everything in A is in B 

If A is a proper subset of B then everything in A is in B and there is something in B that is not in A. 

If A equals B then A is a subset of B and B is a subset of A.

The universal set would be the set of all states in the US. How many are there?

zzr0ck3r · Answer

so is D proper in E?

anonymous · Answer

thats the one i was having trouble in. I would say yes or D is "a like" to E since E has FL in it.

zzr0ck3r · Answer

D is proper in E
D is a subset of E but E is not a subset of D