Identify the antecedent and the consequent for each of the following conditionalsentences. Assume that a, b, and f represent some fixed sequence,integer, or function, respectively. (a) If squares have three sides, then triangles have four sides.(b) If the moon is made of cheese, then 8 is an irrational number.(c) b divides 3 only if b divides 9. (d) The differentiability of f is sufficient for f to be continuous.(e) A sequence a is bounded whenever a is convergent. (f) A function f is bounded if f is integrable.(g) 1 + 2 = 3 is necessary for 1 + 1 = 2.(h) The fish bite only when the moon is full. (i) A time of 3 minutes, 48 seconds or less is necessary to qualify for theOlympic team.

Tina Giagnoni Math 521 Homework # 3 Problem 1. What is the order of the following permutations ▯ ▯ 1 2 3 4 5 6 a. = (12)(356)(4), lcm(2, 3) = 6. The order of a is 6. ▯2 1 5 4 6 3 ▯ 1 2 3 4 5 6 7 b....