a$)$ What do you mean by predicates and quantifiers.

b$)$ Express each of these statements using predicates and quantifiers.

i$.$ A passenger on an airline qualifies as an elite flyer if the passenger flies more than $25,000$ miles in a year or takes more than $25$ flights during that year.

ii$.$ A man qualifies for the marathon if his best previous time is less than $3$ hours and a woman qualifies for the marathon if her best previous time is less than $3\mathrm{.}5$ hours.

c$)$ Translate the nested quantifications $"$