Question

Let A = { x : x ϵ N , 1≤ x ≤ 5 } , B = { 2 ,5 ,6 ,9 }

C = { 1 ,4 , 5 ,8 ,9 ,10 }

(i) Write A in roster form.

(ii) Verify that A ∩ (B U C) = (A∩ B) U (A ∩ C )​

Answer 1

Answer:

answer 1

{1,2,3,4,5}

answer2

no they are not equal

Answer 2

Answer:

Step-by-step explanation

(l) {1,2,3,4,5}

(ii) (BUC)={1,2,3,4,5,6,8,9,10}

A ∩ (B U C)={1,2,3,4,5}

(A∩ B)={1,2}

(A ∩ C )​=1,4,5}

(A∩ B) U (A ∩ C )​={1,2,3,4,5}

A ∩ (B U C) = (A∩ B) U (A ∩ C )​={1,2,3,4,5}

WE PROVED THAT A ∩ (B U C) = (A∩ B) U (A ∩ C )​