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:

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

(ii) {} (they are not equal to.

Step-by-step explanation:

A = { x : x ε N , 1≤ x ≤ 5 }

B = { 2 ,5 ,6 ,9 }

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