Can someone provide explainations and answers ? Pls

3. Which of the following properties will be true on the union RUS of two relations if they are true on R and S individually? a) Reflexive b) Irreflexive c) Symmetric d) Antisymmetric e) Transitive f) Partial order relation g) Equivalence relation 4. Consider the following relations on the set A = {1,2,3} R, = {(1, 1), (2,2), (3,3), R2 = A x A, R3 = {(1, 1), (2, 1), (3, 1), R4 = {(1,2), (2,3)) Which of these are a) (total) functions (from A to A)? functions? b) partial but not total s? c) total and injections? d) total and surjection e) total and bijections? 5. a) What is inf $2,4, 6,8,...]? b) What is inff1, 1/3,1/9,1/27,...)