Question

ANSWER ANY FIVE QUESTIONS 15. Let A = {x€N|1 < x < 4}, B = {x € W10 S x < 2} and C = { x € N |x < 3} Then verify that A X (BOC) = (A X B) n (AXC)​

Answer 1

Answer:

(x,y) ∈ Ax(B∩C)

x∈A and (y∈(B∩C))

x∈A and (y∈B and y∈C)

(x∈A and y∈B) and (x∈A and y∈C)

(x,y) ∈ (A x B) and (x,y) ∈(A x C) // by Cartesian Product.