Question

(17). If A = { = log where a = 1, 2, 4, 8), B = { x:x=log where b= 10, 100, 1000) Find (i) A-B (ii) Set builder form of AB (OR) Observe the Venn-diagram. Find n(AB) also prove n(AUB) = n(A) + n(B)​

Answer 1

Answer:

A={log1, log2, log4, log8}

={1, log2, 2log2, 3log2}={1, 1,2,3}

B={log10, log100, log1000}

={1, 2log10, 3log10}

={1, 2,3}

A-B=1

n(A) =4

n(B) =3

n(AUB) =7

n(AUB) =n(A) +n(B)

7=4+3

7=7

ANOTHER

a=1, 2,4,8

b=10, 100,1000

a-B={1, 2,4,8}

n(A) =4

n(B) =3

n(AUB) =7

n(AUB) =n(A) +n(B)

7=4+3

7=7