Either sales or expenses will go up. If sales go up, then the boss will be happy. If expenses go up, then the boss will be unhappy. Therefore, sales and expenses will not both go up.(adsbygoogle = window.adsbygoogle || []).push({});

How would I go about breaking this apart? My attempt goes like this

S- be sales go up

E- expenses go up

B-boss be happy

premise 1. S v E

premise 2. S→B

premise 3. E→~B

∴ ~(SΛ E)

what is a bit confusing is that it has two separate if statements. So I assume their two separate premises? If not, then why?

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# Proving the validity of this argument

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