1. ## sets

Hi I am really stuck with this question... any hints most appreciated

The symmetric difference between two sets is defined as

A (triangle) B = (A-B) U (B-A)

(b) Prove (algebraically) that (A-B) U (B-A) = (AUB) -(AnB)

(c)If A is the set of even integers and B the set of integers which are multiples of 3, describe the set (AUB) - (AnB)

2. Originally Posted by alexis
Hi I am really stuck with this question... any hints most appreciated

The symmetric difference between two sets is defined as

A (triangle) B = (A-B) U (B-A)

(b) Prove (algebraically) that (A-B) U (B-A) = (AUB) -(AnB)

(c)If A is the set of even integers and B the set of integers which are multiples of 3, describe the set (AUB) - (AnB)
for c i am saying
A = {2,4,6,8....}
B = {3,6,9.....}
AUB = {2,3,4,6,8,9...}
A(INT)B = {6 ...}
(AUB)-(AintB)={2,3,4,8,9...}
Aint B - A intersection of B
the ending number was not mentioned by u so can't say perfectly

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# (a-b)u(b-a)=(aub)-(anb) proof

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