9) The Venn diagram shows the number of elements in sets A, B and C. B
12 -
13
14
20 -
13
8
a) n(AUBUC) = 74
Find x
b) n(E)=100
(3)
Find y
(1

21.5

26

Step-by-step explanation:

AUBUC= A+B+C-A∩B-A∩C-B∩C+A∩B∩C

74=13+14+8-(20-x)-(12-x)-(15-x)+x

74=35-20+x-12+x-15+x+x

74= -12+4x

86=4x

x= 43/2

x=43/2

Y is just the compliment of AUBUC

100-74= 26

The value of x is 4.

The value of y is 26.

Step-by-step explanation:

Here in qn a)

It has been given that n(AUBUC)=74

So we just add all components of n(AUBUC) and add it in an equation which equals to 74;

13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74

82 - 2x = 74

82 - 74 = 2x

8 = 2x

4 = x

So x is 4.

Now for qn b)

It has already been given that n(AUBUC) = 74 and n(U) = 100

so to find y we simply substract n(AUBUC) from n(U)

y = n(U) - n(AUBUC)

= 100 - 74

=26

Just ask me in the comments if you have any questions.

54

step-by-step explanation:

6x9

the answer is c just got it on ed

step-by-step explanation: