Let E denote the set of even integers and O denote the set of odd integers. As usual, let Z denote the set of all integers. Determine each of these sets.

a) E ∪ O

b) E ∩ O

c) Z − E

d) Z − O

Step 1</p>

We have to determine the following questions.

Given

E : set of even integers

O : set of odd integers.

Z : set of all integers.

Step 2</p>

a) E ∪ O

The union of the set of even and odd integers gives the set of all integers Z.

Therefore .

Step 3</p>

b) E ∩ O

The intersection of E and O gives an empty set,since there is no common terms in both E and O.