Set membership and subsets - true or false, cont. about use the definitions for the sets given below to determine whether each statement is true or false: a =xe z: x is an integer multiple of 3) b=xe z: x is a perfect square } c {4, 5, 9, 10) d 2,4,11, 14 e= (3, 6,9) f ={4,6, 16 an integer x is a perfect square if there is an integer y such that x y2 (a) 15 c a (b) 15}c a (c) øc a (d) ac a (e) (f) a is an infinite set. (g) b is a finite set. (h) iei=3 (0) iel=ifi

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?