Use the Venn Diagram in #1 to answer the following question: How many elements are contained in B ∪ C ?
a.73

b.43

c.53

d.63

Work Shown:

The notation B U C means "set B or set C". The U refers to set union. A set union is where you combine two sets and toss out any duplicates. In terms of a venn diagram, we will add up any number that is either in set B, set C, or both sets at the same time.

So we just add up the numbers: {6, 19, 5, 8, 3, 22} to get

6+19+5+8+3+22 = 63

There are 63 items in either set B, set C or both.

Alternative route:

n(B) = number of items in set B

n(B) = 6+19+5+8 ... add up the numbers in circle B

n(B) = 38

n(C) = number of items in set C

n(C) = 3+5+8+22

n(C) = 38

n(B and C) = number of items in both set B and set C

n(B and C) = 5+8

n(B and C) = 13

n(B U C) = n(B) + n(C) - n(B and C)

n(B U C) = 38 + 38 - 13

n(B U C) = 63

bn,mn,n.vn.

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)