Question

if u= { x : x ≤ 15, x ∈ n} , A = { even number less than 15} and B = { factors of 12 }, find Ac (comlement ∩ B

Answer 1

Step-by-step explanation:

u= { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

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

B= { 1,2,3,4,6,12}

A complement ∩ B

= {2,4,6,8,10,12,14} complement ∩ {1,2,3,4,6,12}

= {1,3,5,7,9,11,13,15} ∩ {1,2,3,4,6,12}

= {1,3}

Answer 2

Answer:

{1,3}

Step-by-step explanation:

since we know that the universal set u contains natural numbers less than 15 so

u = {1 2 3 4 5 6 7 8 9 10 11 12 13 14 15}

set A contains even natural numbers less than 15 so

A= {2 4 6 8 10 12 14}

set B contains factors of 12 so

B={1 2 3 4 6 12}

we have to find Ac ∩ B so

Ac wil be

Ac = {1 3 5 7 9 11 13 15}

finally

(Ac ∩ B) = {1 , 3 }