Question

If £={x:x€ N,1 <x<20} ,A = {x :x is a multiple of 2 }, B ={ y: y is a multiple of 3} and C = { z : z is a mutiple of 6},find (i) A U (reverse) B U ( reverse) C and (ii) B U (reverse) C U ( reverse) A'​

Answer 1

Answer:

(i) C={6,12,18} (ii) Ф

Step-by-step explanation:

let set U={2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}

A={2,4,6,8,10,12,14,16,18}

B={3,6,9,12,15,18}

c={6,12,18}

(i) A ∩ B ∩ C = (common elements of all three sets)

={6,12,18}=C

(ii) B ∩ C ∩ A'

A'=U - A = {1,3,5,7,9,11,13,15,17,19}

B∩C={6,12,18}=C

C∩A'=Ф