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## Homework Statement

Show that:

[itex] A \cap B \subset (A \cap C) \cup (B \cap C') [/itex]

## Homework Equations

## The Attempt at a Solution

I tryed distribute [itex] (A \cap C) over (B \cap C') [/itex] but i'm always walking in circles and i don't came to a satisfactory answer. This exercise was in a section "some easy exercies on complementation" but i don't see how to use complements here.

Thanks