Let Ødenote the empty set. The power set of the set {0} is: Select one: O a. {0} O b. {0, {0}} O c. {0} O d. {0,0,{0}} Oe. none of the above Burg

Suppose you want to refute the statement: There are some natural numbers a, b, and c where a | b and b | c but a does not divide c.  Which of the following would be an appropriate strategy for you to employ? Group of answer choices Show specific values for a, b, and c where a | b and b | c and a | c. Show specific values for a, b, and c where a does not divide b and b does not divide c, but a | c. Show for any generic choices of a, b, and c that if a | b and b | c then a | c. Show for any generic choices of a, b, and c if a does not divide b and b does not divide c then a does not divide c.

Let Y be the following set: Y = {2,4,7} Which of the sets given below equal to Y? Select all that apply. O{2, 2, 4, 4, 7} {2,4,7,8} O{2,2,2,7,7} O{7, 4, 2}

The sets T, F and W contain natural numbers and are defined as follows T= {multiples of 3 which are below 21}, F= {multiples of 4}, W = {factors of 12} Determine whether the following statements are true or false: а. 14 € F b. 24 ¢ T c. 1 e (FU T) d. WU T= {1, 2, 4} e. (FOT) CW f. FOTOW =Ø