Question

MAT 142 Problem set
Unit: Sets
Topic: Comparing Sets
Directions: Solve the following problems. Please show your work and explain your reasoning.
1. 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?

Answer 1

I think you're missing some symbols in questions a, b, and c.

Answer 2

Is \(D\cap E\)? That doesn't make sense. Are you sure it's not \(D\subset E\)?

Answer 3

you are correct my mistake wrong page and b is the same with a ;line under the symbol

Answer 4

my typing sucks sorry

Answer 5

Okay, so you understand that symbol right? It's the subset symbol. So it's asking whether D is a subset of E. Subset means, every element in D is also an element in E. Does that help?

Answer 6

yes are there 81 set sets? to U

Answer 7

Nope. 81 would be \(\large9^2\), what you're looking for is \(\large2^9\).

Answer 8

great thanks!