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A) All soda pops B) All diet soda pops not in cans C) All cola soda pops not in cans

Question : A) All soda pops B) All diet soda pops not in cans C) All cola soda pops not in cans : 2151543

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Let U = {all soda pops}; A = {all diet soda pops}; B = {all cola soda pops}; C = {all soda pops in cans}; and D = {all caffeine-free soda pops}. Describe the given set in words.

1) C'

A) All soda pops

B) All diet soda pops not in cans

C) All cola soda pops not in cans

D) All soda pops not in cans

2) A∩B

A) All soda pops that are cola or diet

B) All diet and all cola soda pops

C) All non-diet cola soda pops

D) All diet-cola soda pops

3) AD

A) All caffeine-free diet soda pops

B) All soda pops that are diet or caffeinated soda pops

C) All diet cola soda pops

D) All soda pops that are diet or caffeine-free soda pops

4) (C∩B)'

A) All soda pops that are not cola soda pops in cans

B) All cola soda pops in cans

C) All soda pops that are neither cola nor in cans

D) All soda pops that are not diet-cola soda pops in cans

5) C'D'

A) All soda pops that are not in cans or are caffeinated.

B) All soda pops that are not in cans or caffeine-free

C) All caffeinated soda pops not in cans

D) All caffeinated soda pops in cans

6) A'∩C

A) All diet soda pops in cans

B) All soda pops that are non-diet or in cans

C) All non-diet soda pops in cans

D) All non-diet soda pops not in cans

7) A∩B∩D

A) All soda pops that are diet, cola , or caffeine-free

B) All diet, caffeine-free, cola soda pops

C) All soda pops not in cans

D) All diet, caffeine-free, cola soda pops in cans

8) (A∪B)D

A) All soda pops that are diet, cola, or caffeine-free

B) All diet, caffeine-free, cola soda pops

C) All soda pops

D) All soda pops that are diet, cola, or in cans

9) (A∩B)∩C'

A) All cola soda pops not in cans

B) All non-diet, non-cola soda pops not in cans

C) All soda pops that are diet colas or not in cans

D) All diet-cola soda pops not in cans

10) (A∪D)∩C'

A) All non-diet, caffeine-free soda pops not in cans

B) All soda pops not in cans that are diet or caffeine-free

C) All diet, caffeine-free soda pops not in cans

D) All soda pops that are not in cans, diet, or caffeine-free

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false.

11) 4A

A) True

B) False

12) {6}A

A) True

B) False

13) {9}A

A) True

B) False

14) 3A

A) True

B) False

15) {3, 0, 8}A

A) True

B) False

16) {3, 0, 8}A

A) True

B) False

17) {6, {3, 0, 8}}A

A) True

B) False

18) {9}A

A) True

B) False

19) {{9}}A

A) True

B) False

20) {6, 4, {9}}A

A) True

B) False

The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.

Alabama              Arkansas             Louisiana

soybeans (s)       soybeans (s)       soybeans (s)

peanuts (p)          rice (r)                   sugarcane (n)

corn (c)                 cotton (t)              rice (r)

hay (h)                  hay (h)                  corn (c)

wheat (w)            wheat (w)            cotton (t)

 

Let U be the smallest possible set that includes all of the crops listed; and let A, K, and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set.

21) A∩K

A) {h, s, w}

B) {c, h, p, r, s, t, w}

C) {c, h, s, t, w}

D) {c, p, r, t}

22) L∩K

A) {c, h, n, w}

B) {r, s, t}

C) {c, h, n, r, s, t, w}

D) {c, n, r, s, t}

23) K'∩L

A) {c, n, p}

B) {c, n}

C) {r, s, t}

D) {h, w}

24) AL

A) {c, h, n, p, r, s, t, w}

B) {c, n, p}

C) {c, s}

D) {h, n, p, r, t, w}

25) (KL)'

A) {c, h, n, r, s, t, w}

B) {p}

C) {n, r, t}

D) {p, c, n, h, w}

26) A'L

A) {c, n, r, s, t}

B) {n, r, t}

C) {h, p, w}

D) {h, n, p, r, t, w}

27) L'K'

A) {c, h, p, s, w}

B) {r, s, t}

C) {c, h, n, p, w}

D) {p}

28) A'∩K'

A) ∅

B) {n}

C) {c, n, p, r, t}

D) {c, p, r, t}

29) L'∩(AK)

A) {h, p, r, t}

B) {s, p, c, h, w, r, t}

C) {h, p, w}

D) {h, w}

30) A∩K∩L

A) {s}

B) {c, h, n, p, r, s, t, w}

C) {n, p}

D) {n, p, s}

Solve the problem.

31) Jose is applying to college. He receives information on 7 different colleges. He will apply to all of those he likes. He may like none of them, all of them, or any combination of them. How many possibilities are there for the set of colleges that he applies to?

A) 128

B) 124

C) 7

D) 16

32) Martina bought 5 books to bring on vacation. However she decided that her bag was too heavy and that she wouldn't bring all of them. How many possible subsets are there if she brings at least one book but not all 5 books?

A) 4

B) 30

C) 27

D) 31

33) Bill has 6 friends over for dinner. After dinner, the seven of them are thinking about going out dancing. Not everyone is sure that they want to go. How many subsets of the seven are possible if at least two people go dancing?

A) 121

B) 6

C) 56

D) 120

Solution
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