Q:

Let U = {all integers}. Consider the following sets: A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer} Use the defined sets to answer the questions. Assuming 0 is an even integer, which set is the complement to set B? Which set is an empty set? Which set would contain the subset E = {1, 3, 5, 7}?

Accepted Solution

A:
Let U = {all integers}.Consider the following sets:A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer} Use the defined sets to answer the questions.
Assuming 0 is an even integer, which set is the complement to set B?
D
 Which set is an empty set?

Which set would contain the subset E = {1, 3, 5, 7}?
D