(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove:

(A-B)[tex]\cup[/tex](B-A)=(A[tex]\cup[/tex]B)-(A[tex]\cap[/tex]B)

2. Relevant equations

3. The attempt at a solution

We need to show (A-B)[tex]\cup[/tex](B-A)[tex]\subseteq[/tex](A[tex]\cup[/tex]B)-(A[tex]\cap[/tex]B)

and (A[tex]\cup[/tex]B)-(A[tex]\cap[/tex]B)[tex]\supseteq[/tex](A-B)[tex]\cup[/tex](B-A).

We begin by showing the first:

Let x[tex]\in[/tex](A-B)[tex]\cup[/tex](B-A).

By definition of union, x[tex]\in[/tex]A-B or x[tex]\in[/tex]B-A.

If x[tex]\in[/tex]A-B, we know x[tex]\in[/tex]A .......

This is where I've begun to get stuck. Not sure where to go next.

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# Homework Help: Abstract - Prove (A-B)union(B-A)=(AunionB)-(AintersectB)

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