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## Homework Statement

show S1 U S2 = (S1' ∩ S2')'

## The Attempt at a Solution

I'm pretty sure I have this right or I'm close

Let x ∈ S1 U S2

x ∈ S1 or x ∈ S2

Since x ∈ S1 or S2, then x ∉ S1' and S2'

If x ∉ S1' and S2', then x ∈ (S1' and S2')'

Therefore, S1 U S2 = (S1' ∩ S2')'

## Homework Statement

show S1 U S2 - (S1 ∩ S2') = S2

## The Attempt at a Solution

I have not attempted this as I'm not sure how to start this one...any help would be appreciated.

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