Question

(3) n (AUB) = n(A) + n(B)-n (AB)

Verify the above rule for the given Venn diagram.

A

n (B)

B

3

18

(AUB), n (AB)=[


15

12

24

n (AUB) n(A) + n (B)-n (AB)

n(AUB) =

30 36

n(AUB) =
please solve these it's
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Answer 1

Step-by-step explanation:

$n(a) = 5 \\ \\ n(b) = 6 \\ \\ n(a \: intersection \: b) = 2 \\ \\ n(a \: union \: b) = 9 \\ \\ now \: \: \: \: n(a \: union \: b) =n(a) + n(b) - n(a \: intersection \:b) \\ \\ 9 = 5 + 6 - 2 \\ \\ 9 = 9 \: \: which \: is \: always \: true.$

Hence proved.