Consider the following sets A = {x|x ∈N and 25 ≤x ≤75 and x is an even number} B = {x|x ∈N and x ≤50 and x is an odd number} U = {x|x ∈N and x ≤100} where U is the universal set under consideration. Identify the set ̃A ∩ ̃B using roster notation.

Mathematics by Geoffrey

1.(10 points.) Consider the following sets
A = {x|x ∈N and 25 ≤x ≤75 and x is an even number}
B = {x|x ∈N and x ≤50 and x is an odd number}
U = {x|x ∈N and x ≤100}
where U is the universal set under consideration. Identify the set ̃A ∩ ̃B using roster
notation.
2.(10 points.) Let P and Q be two true statements. Construct a truth table and
identify the truth value of the statement
(P ∧ ̃Q) ∨( ̃P ∧Q)
Complete all of your work on a separate sheet of paper (no need to print this page) and
email a photograph of the page to rrtromacek@dmacc.edu with the subject ”Math 110
Exam 1”.