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

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

Question 788175: How many one-to-one correspondences are there between the two sets {1,2,3,4...12} and {a,b,c,d...l}
Click here to see answer by stanbon(75887)

Question 793898: help ive got no idea where to start

There are 100 monsters. 38 of them are visible, the rest are invisible. Amongst the visible
monsters, 16 glow red, 18 glow blue, 18 glow green, 7 glow red and blue, 5 glow blue and
green and 6 glow red and green. (Note that \16 glow red" should be interpreted as: 16
monsters glow red, but each of those monsters is free to glow other colours too. The other
numbers should also be interpreted in the same way).
One day the monsters that simultaneously glow with all three colours, decide to join forces
with the invisible monsters, to form a mighty army. How many monsters are in the army?

Click here to see answer by KMST(5328)

Question 799062: I'm having trouble in my stats class. Could anyone help me with the following question? The probability that a student is taking an English course is 0.60, that a student is taking a chemistry class is 0.30, and that a student is taking both English and chemistry is 0.12.
1. find the probability that a student selected at random is taking either English or chemistry
2. find the probability that a student selected at random is not taking English.
3. find the probability that a student is taking English, given that the student is taking chemistry.
4. are the events "taking English" and 'taking chemistry" independent events? explain why?
Click here to see answer by Finavon(81)

Question 801797: Solve the equation by factorizing 5x�+3=9x
Click here to see answer by Edwin McCravy(20054)

Question 802337: consider 3 sets A,B,C such that AUBUC=U. if the union is taken between the elements not in C and the elements not in A and not in B and not in C, then the results is the elements which are not in C. true or false? and why?

Click here to see answer by solver91311(24713)

Question 803500: What is a number that is less than 400, is divisble by 5, three digits, it's hundreds are greater than the tens, and all the numbers add together is divisble by 3?
Click here to see answer by ankor@dixie-net.com(22740)

Question 813489: what are the next three fractions in the pattern???
1/12, 1/6 1/4, 1/3, 5/12....
Click here to see answer by jim_thompson5910(35256)

Question 819751: if 85 was 37 less then twice of a number what would the number be...
Well you have 85 & 37 less than twice a number.So we're going to take that info.& set up our equation.It's pretty simple.Watch what I do.
15
85
-37
____
___
2|48
=24 to the 2nd power.
so basically subtract 37 from 85.(85-37)
which gives you 48.
____
to find what the missing number is simply divide 48 by 2. (2|48
it will leave us with 24.
we're not finished yet. *REMEMBER=It said twice a number*
so all we do is simply say x=24 squared (x represents 24 squared)

Click here to see answer by Ehs_Gurl :D(1)

Question 821333: 41/8-35/6 the answer is 7/24 but how did they get there? also need to know how to simplify. the variable represents a positive real number square root of 48x2
Click here to see answer by ewatrrr(24785)

Question 824140: Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?

X U Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
� ⊂ (X U Y)
Click here to see answer by jsmallt9(3758)

Question 826033: . Find the difference between the number of elements in the union and the intersection of the following sets: M = {2, 4, 6, 8, 10, 12} and N = {1, 3, 5, 7, 9, 11}

Click here to see answer by MathLover1(20849)

Question 826031: Find the difference between the number of elements in the union and the intersection of the following sets: M = {2, 4, 6, 8, 10, 12} and N = {1, 3, 5, 7, 9, 11}

Click here to see answer by math-vortex(648)

Question 828728: Let U = {4, 5, 6, 7, 8, 9, 10}, A = {4, 5, 6, 7}, B = {4, 5, 8, 9}, and C = {6, 8, 10}. List all the members of the given set. (Enter your answers as a comma-separated list.)
(A ∪ B) ∩ C

Click here to see answer by jim_thompson5910(35256)

Question 828347: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.(Enter your answers as a comma-separated list. Enter EMPTY or � for the empty set.)
{1, 2, 3, 4, 5} ∩ {3, 4, 5, 6, 7}

Click here to see answer by Fombitz(32388)

Question 829705: Let U = {5, 6, 7, 8, 9, 10, 11}, A = {5, 6, 7, 8}, B = {5, 6, 9, 10}, and C = {7, 9, 11}. List all the members of the given set.
(A ∪ B) ∩ C
Click here to see answer by reviewermath(1029)

Question 830221: Algebra
-
Write a
numerator that
makes the statement
true.
11.) � < __/10 < 4/5
12.)1/4
< 5/12 < __/6
Click here to see answer by erica65404(394)

Question 830427: Perform the given set operation. Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{x | x is a multiple of 2} ∪ {x is a multiple of 3}

Click here to see answer by Fombitz(32388)

Question 830427: Perform the given set operation. Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{x | x is a multiple of 2} ∪ {x is a multiple of 3}

Click here to see answer by stanbon(75887)

Question 829722: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
{2, 8, 9}
Click here to see answer by tommyt3rd(5050)

Question 829721: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
{x | x is a multiple of 2} U{x is a multiple of 3}
Click here to see answer by tommyt3rd(5050)

Question 830854: A perfect trio involves three whole numbers. Using the three numbers, add the first two numbers together then divide the sum by the third number. Using the same three numbers, subtract the second from the first number and then multiple the difference by the third. The trio is perfect if the two outcomes are equal.
Can you find three whole numbers that are perfect trios?
Click here to see answer by ankor@dixie-net.com(22740)

Question 834422: with this given information A = {1, 2, 3, 4, 5, 6, 7} B = {2, 4, 6, 8} C = {7, 8, 9, 10}
how do i solve this A ∩ B ∩ C
Click here to see answer by Fombitz(32388)

Question 835151: 3, 5, 6, 8, 9 ∪ �
I'm unsure of the answer.
Click here to see answer by Fombitz(32388)

Question 835501: Let
Universal Set = {q, r, s, t, u, v},

A = {q, s, u},
and
B = {r, t, u, v}.
Find each specified set. (Enter your answers in roster notation. Enter EMPTY or � for the empty set.)
Click here to see answer by Fombitz(32388)

Question 835738: Use inductive reasoning to predict the next line in the pattern:
(2 x 1) + (3 x 1)= 5
(2 x 2) + (3 x 10) = 34
(2 x 2^2) + ( 3 x 10^2) = 308

Click here to see answer by richwmiller(17219)

Question 835876: Please explain the following problem:
Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
(Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{x | x is a multiple of 2} ∪ {x is a multiple of 7}

Click here to see answer by Fombitz(32388)

Question 836135: Hi! I'm having trouble to understand this, please do help me on finding the truth value of this:
The set of multiples of 6 is a subset of the set of set of multiples of 24. (It's really 'set of set')
Will really appreciate!
Click here to see answer by KMST(5328)

Question 837798: (2x − 1)(x2 + 5x − 3)
Click here to see answer by rfer(16322)

Question 841639: . How many ways are there to stack an ice-cream cone
with 4 scoops if the choices are
a. vanilla, chocolate, rhubarb, and strawberry and each
scoop must be different?
b. vanilla, chocolate, rhubarb, and strawberry and there
are no restrictions on different scoops?

Click here to see answer by ewatrrr(24785)

Question 841754: find out the set among the four
sets which is like the given set of numbers. 3,
18, 33
(A)7, 22, 37 (B)9, 13, 19
(C)5, 16, 32 (D)6, 18, 54
Click here to see answer by BUCG(2)

Question 842229: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{3, 5, 6} ∩ {5, 6, 8}

Click here to see answer by ewatrrr(24785)

Question 842230: Perform the given set operation. Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
(Enter your answers as a comma-separated list. Enter EMPTY or � for the empty set.)
{1, 4, 7} ∪ {3, 6, 9}
Click here to see answer by ewatrrr(24785)

Question 843069: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
_________
{2, 7, 10}

Click here to see answer by Fombitz(32388)

Question 842950: Find the cardinal number of each of the following sets:
⦁ {9,10,11, ∙∙∙, 99}
⦁ (2,4,6,8, ∙∙∙, 2002}
⦁ {0,1,3,7,15, ∙∙∙, 1023}
⦁ {x2 | x = 1,3,5,7, ∙∙∙, or 99}

Click here to see answer by Fombitz(32388)

Question 843172:
(1 pt)

f(x) is shown in black and g(x) is shown in red.
Which is a coordinate rule for the translation of f(x) to g(x)?
Click here to see answer by richard1234(7193)

Question 843504: Perform the given set operation.
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
(Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{x | x is a multiple of 2} ∪ {x is a multiple of 3}

Click here to see answer by ewatrrr(24785)

Question 843509: Let U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7, 9}. List all the members of the given set. (Enter your answers as a comma-separated list.)
A ∪ (B ∩ C)

Click here to see answer by ewatrrr(24785)

Question 843508: Perform the given set operation.
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
(Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{x | x is a multiple of 2} ∪ {x is a multiple of 3}

Click here to see answer by ewatrrr(24785)

Question 843529: Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}.
List all the members of the given set. (Enter your answers as a comma-separated list.)
A ∪ (B ∩ C)
Click here to see answer by ewatrrr(24785)

Question 843506: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{3, 8, 9}
Click here to see answer by richard1234(7193)

Question 843575: Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}.
List all the members of the given set. (Enter your answers as a comma-separated list.)

A ∪ (B ∩ C)
Click here to see answer by ewatrrr(24785)

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