Questions on Logic: Sets and operations answered by real tutors!

Tutors Answer Your Questions about sets-and-operations (FREE)

Question 391742: Is A=(a,b,c,d) and B=(a,c), find a set C such that A intersection C = B. Is C unique?
:)
Click here to see answer by jim_thompson5910(35256)

Question 391742: Is A=(a,b,c,d) and B=(a,c), find a set C such that A intersection C = B. Is C unique?
:)
Click here to see answer by richard1234(7193)

Question 394339: if P= f, h, i, s and Q= e, p, i, s, then P ∩ Q equals?
Click here to see answer by jim_thompson5910(35256)

Question 403363: A one week study revealed 60% of a stores customers are women and 30% spend at least 250 on a single visit to the store. Find the probability that a randomly chosen customer will be a woman who spends at least 250.00

Click here to see answer by robertb(5830)

Question 427843: 0.5^x=2
Click here to see answer by nerdybill(7384)

Question 429983: Dale is 4 years older than Sue. 5 years ago the sum of their ages was 64. How old are they now?
Click here to see answer by jorel1380(3719)

Question 429985: 1/x - 1/2 = 1/4
Click here to see answer by jorel1380(3719)

Question 431739: Given these sets:
A = {3, 4, 5, 6, 7}
B = {6, 7, 8, 9}
C = {2, 4, 6, 8}

List the elements of this set
C ∩ (AUB)
Do not skip to the answer. Show your work
Click here to see answer by richard1234(7193)

Question 432961: The cardinal number of the set {cow, horse, goat, chicken, rooster} is

Click here to see answer by rapaljer(4671)

Question 433982: How do I find the intersection: Given U {10,11,12,13,14,15,16,18,19,20}
A{12,14,16,18,20}
B{11,13,14,15,18,19,20}
Find A intersect B
Click here to see answer by stanbon(75887)

Question 434054: Select the statement that is not true
A{l,a,t,e,r} B={l,a,t,e} C= {t,a,l,e} D= {e,a,t} E= {t,e,a}
I tried to solve the problem on my own and I came up with d={e,a,t,}E={t,e,a} not is true? Is this correct?

Click here to see answer by Edwin McCravy(20054)

Question 436435: using the correct mathematical notation and symbols express the following in set-builder notation: Z={12,13,14,15,16,17,18,19}
Please HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Click here to see answer by robertb(5830)

Question 437865: I need Venn diagram of this problem
Soft Drink Taste Test A soft drink company wishes to introduce a new soft drink. The company is considering two flavors, lemon lime and cherry cola. In a sample of 125 people, it was found that
� 80 liked lemon lime.
� 68 liked cherry cola.
� 42 liked both types
c) How many liked either one or the other or both?
d) How many did not like either flavor?

Click here to see answer by solver91311(24713)

Question 444654: TENNESSEE In, each individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the hat, determine the probability that
the letter S is not selected.
Click here to see answer by oberobic(2304)

Question 447189: What graph indicates lim x -> -infinity f(x)=3 ?

Click here to see answer by richard1234(7193)

Question 449748: Given U = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}, A = {16, 18, 20, 22}, and B = {17, 19, 20, 23, 24}.
Find A′U B′. Do not skip to the answer. Show your work, finding A�, then B� then find their union
Click here to see answer by jim_thompson5910(35256)

Question 451236: I am having some problems understanding this .. this is all new could i get someone to help....thank you
Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C
d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C
Click here to see answer by jim_thompson5910(35256)

Question 451606: I have done a truth table below and i need someone to check it for me. I am not sure if I have it set up right. The ~q and --> has me a little confussed..
~q-->(p^q)
p q q -q --> (p ^ q)
________________________
T T T F T T T F
T T F F T T T T
T F T F F F F F
T F F F T F T T
F T T F F T T F
F T F F F T T T
F F T F F F F F
F F F F F F T T

If you could just help me i would be grateful... thank you"
Click here to see answer by Edwin McCravy(20054)

Question 452039: Blending spices. Spice of Life sells ground sumac for $1.35 an ounce and ground thyme for $1.85 an ounce. Aman wants to make a 20-oz Zahtar seasoning blend using the two spices that sells for $1.65 an ounce. How much of each spice should Aman use?

Click here to see answer by htmentor(1343)

Question 452074: determine the truth value of the statement.... how do you do this with numbers?
(15-7=22) or 4+9=13 and 9-8=1
thank you
Click here to see answer by solver91311(24713)

Question 459361: Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C
d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C
Click here to see answer by sudhanshu_kmr(1152)

Question 463325: 80 liked lemon lime.
68 liked cherry cola.
42 liked both types.
a) How many liked only lemon lime?
b) How many liked only cherry cola?
c) How many liked either one or the other or both?
d) How many did not like either flavor?
out of 125 people
need answer for c and d only thank you
Click here to see answer by edjones(8007)

Question 464032: The Wildlife Federation surveyed 140 San Diego residents. The results are as follows:

22 had a membership to the Birch Aquarium
26 had a membership to the San Diego Zoo
15 had both

Construct a Venn diagram and submit it to the Dropbox.
Answer the following questions:

i. How many had only a zoo membership?
ii. How many had only an aquarium membership?
iii. How many belonged to either one or the other or both?
iv. How many belonged to neither?
Click here to see answer by edjones(8007)

Question 449916: An electronics store surveyed every 12th customer who came into the store for a week.
Of the 370 people who responded,

159 people watched movies on VHS tapes.
263 people watched movies on DVDs.
64 people watched movies both on VHS tapes and DVD
i have the answer but i need to know which diagram i need to use for this problem... can someone plz help

Click here to see answer by nicole4567 (1)

Question 464233: Given A = {4,5,6}, B = {1,2,3}, and C = {6, 7}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C
d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C

Click here to see answer by edjones(8007)

Question 467910: Let A, B, and C be sets such that A union B = A union C and A intersect B = A intersect C. Show that B=C.
Click here to see answer by moshiz08(60)

Question 468991: Someone Please help me!
Given the following A={1,2,3} B={1,2,3,4,5} and C= {4,5,6,7} Evaluate each set
a) A intersection B
b) A union C
c) B union C
d) (A union B)intersection C
e) A union (B union C)
f) (A intersection B) intersection C
g) (A intersection B)union C
Click here to see answer by MathLover1(20849)

Question 468967: Given U = {10,11,12,13,14,15,16,17,18,19,20}, A= {11,13,15,19}, & B= {10,12,14,15,16,19}.
Find A' union B' Show all work on finding A', then B' then the union
Click here to see answer by Edwin McCravy(20054)

Question 470508: Using correct mathematical notation and symbols, express the following in set-builder notation: Z = {17, 18, 19, 20, 21, 22, 23, 24, 25}
Click here to see answer by stanbon(75887)

Question 470750: Fill in the heading of the following truth table
p q ?
T T T
T F T
F T T
F F F what should the third column be
Click here to see answer by MathLover1(20849)

Question 470742: Construct a truth table for ( ~p disjunction ~ q )conditional p.
Please show the steps on how you did this
Click here to see answer by MathLover1(20849)

Question 472115: A long distance phone call cost 36 cents for the first three minutes and 11 cents for each additional minutes. How long can you talk for less than $2
Click here to see answer by jorel1380(3719)

Question 472805: Given that U = {students in a college},
A = {students who are over 180 cm tall},
B = {students who are vegetarian},
C = {students who are cyclists},
express in words each of the following
i) A∩B ≠ �
ii) A ⊂ C'
Express in set notation the statement
(iii) all students who are both vegetarians and cyclists are not over 180 cm tall.

Click here to see answer by solver91311(24713)

Question 475929: how do I perform the given operations. (Enter solutions from smallest to largest) If there are any unused answer boxes, enter none in the last boxes.
{17,22,26} u {22,17,37}
{17,22,26} n {22,17,37}
{17,47,26} u {92,80,37}
{17,47,26} n {92,80,37}

Click here to see answer by stanbon(75887)

Question 475946: for each given set,how do I choose the set with the same cardinality
{1,4,7,...,91,94} Possible choices
{1,2,3,...,205,206} {131,132,133,...,247}
{1,3,5,...,211,213} {147,148,149,...,240}
{3,4,5,...34}
{131,132,133,...,237}
{1423,1425,1427,...,1833}

Click here to see answer by tinbar(133)

Question 475954: for each given set,how do I choose the set with the same cardinality
{1,4,7,...,91,94}

{1,2,3,...,205,206}
{1,3,5,...,211,213}
possible choices {147,148,149,...,240}{131,132,133,...,247} {3,4,5,...,34} {1423,1425,1427,...1833}
Click here to see answer by richard1234(7193)

Question 479270: I need to construct a truth table. (p "and" ~q)--q
Click here to see answer by Theo(13342)

Question 480509: Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies.
A = {x | x is a sport that uses a ball}
B = {basketball, soccer, tennis}

Click here to see answer by Edwin McCravy(20054)

Question 480571: PERMUTATIONS AND COMBINATIONS
A CLUB CONSISTS OF 16 MEN AND 19 WOMEN. IN HOW MANY WAYS CAN THEY CHOOSE A PRESIDENT, VICE PRESIDENT, TREASURER, AND SECRETARY, ALONG WITH AN ADVISORY COMMITTEE OF SIX PEOPLE? (ROUND THE ANSWER TO FIVE DECIMAL PLACES.)
Click here to see answer by solver91311(24713)

Question 480845: In Exercises 25-32, determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies.

A = {x | x is a sport that uses a ball} B = {basketball, soccer, tennis)

Click here to see answer by Theo(13342)

Question 481008: My problem says this:
Use the graph to represent each set in roster form. The set of years included in the graph in which digital camera sales were less than 6 million.
Can someone please help me with this?
Here is the graph:
http://www.flickr.com/photos/62474130@N03/6036660664/
Click here to see answer by solver91311(24713)

Question 481009: Can someone help me with this please?
My Problem says this:
Determine the following: A ∪ B′
Let
U = {1, 2, 3, 4, 5, 6, 7, 8}
A = {1, 2, 4, 5, 8}
B = {2, 3, 4, 6}
The photo:
http://www.flickr.com/photos/62474130@N03/6036660666/
Click here to see answer by solver91311(24713)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035