Question

if U=(2,3,4,5,6,7,8,9,) x=(3,5,7,9,) y=(2,4,6,8,) show that X= Y' and Y =X

Answer 1

Answer:X'=Y, and Y' = X

Step-by-step explanation:

Given- U=(2,3,4,5,6,7 8,9)

X=(3,5,7,9)

Y=(2,4,6,8)

Now, Y'= that element of U which is not in Y I.e. Y'= (3,5,7,9) which is equally to X.

Thus x=Y' (prooved)

Now X' = that element of U which is not in X, I.e. X'= ( 2,4,6,8) which is equal to Y.

Thus Y = X'( prooved)