SOLUTION: Please help me with the following question. Ireally need the help my work is due today and I just don't get it. 1.Set K contains 30 elements, set J contains 46 elements, and 11 el

Question 184847: Please help me with the following question. Ireally need the help my work is due today and I just don't get it.
1.Set K contains 30 elements, set J contains 46 elements, and 11 elements are common to both sets. Find n ( K U J).
2.Given A = {1, 2, 3}, B = {3, 4, 5, 6,}, and C = {3, 5, 7}. Evaluate each set
a) A ∩ B
b) A ∩ C
c) A U C
d) B U C
e) (A U B) ∩ C
f) A U (B U C)
g) (A ∩ B) ∩ C
h) (A ∩ B) U C
Please help me
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

To find the number of elements in the set K U J, simply add the two sets together. However, remember to subtract the number of elements in both sets (since these elements are repeated)

In other words, use this formula:

n ( K U J) = n(K) + n(J) - n(K ∩ J)

In this case, n(K)=30, n(J)=46 and n(K ∩ J) = 11. Plug these values in to get:

n ( K U J) = 30 + 46 - 11

Add

n ( K U J) = 76 - 11

Subtract
n ( K U J) = 65

So there are 65 elements in set K U J

-----------------------------------------------------

# 2

I'll do the first four to get you started

a)

A ∩ B = Set of elements that BOTH sets A and B have in common

A ∩ B = {1, 2, 3} ∩ {3, 4, 5, 6}

A ∩ B = {3}

----------------

b)

A ∩ C = Set of elements that BOTH sets A and C have in common

A ∩ C = {1, 2, 3} ∩ {3, 5, 7}

A ∩ C = {3}

----------------
c)

A U C = Combination of the sets A and C (remove any duplicates)

A U C = {1, 2, 3} U {3, 5, 7}

A U C = {1,2,3,5,7}

----------------
d)

B U C = Combination of the sets B and C (remove any duplicates)

B U C = {3, 4, 5, 6} U {3, 5, 7}

B U C = {3,4,5,6,7}
RELATED QUESTIONS
Hi tutor, i have a booklet due tomorrow for school and i really need too get 100 percent... (answered by mananth,ankor@dixie-net.com)

Ireally need help with my algebra can you help me with this problem 12 times 1 over... (answered by antsinmypants)

i need help with this question and it is due today. Find values for m and b in the... (answered by ankor@dixie-net.com)

please help my teacher is still saying that this is incorrect please help thank you so... (answered by solver91311)

please help help me with this question....Solve using the substitution method. Show your... (answered by ankor@dixie-net.com)

I really don't know how to set this up to get my answer....Please someone Help!! A... (answered by mananth)

OK i need help with this problem and i need the answer its due in one hour please help... (answered by Fombitz)

I'm trying to solve a future value equation and i need to solve for t. Please i just cant (answered by Alan3354)

[ I am reposting because there was a typo in my email when I posted the previous question (answered by josgarithmetic,math_tutor2020)