Question

Let A be the set of students at your school and B the set of books in the school library. Let R₁ and R₂ be the relations consisting of all ordered pairs (a, b), where student a is required to read book b in a course, and where student a has read book b, respectively. Describe the ordered pairs in each of these relations.

a) R₁ ∪ R₂
b) R₁ ∩ R₂
c) R₁ ⊕ R₂
d) R₁ − R₂
e) R₂ − R₁

Answer 1

Answer:a) {(a,b)[a is required to read book b or has read book b]}

b) {(a,b)[a has read book b that he was required to read)]

c) {(a,b)[a is either required to read book b or has read it but he has not read both)]

d) {(a,b)[a is required to read book b and he is yet to read book b)]

e) {(a,b)[a has read book b that was not required)]

Step-by-step explanation: The answers is a description of the explanation