- #1

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## Homework Statement

describe exactly when

x intersecting (y union z) = (x intersecting y) union z

## Homework Equations

## The Attempt at a Solution

I just for some reason cannot see this solution and need a shove in the right direction

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- Thread starter gutnedawg
- Start date

- #1

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describe exactly when

x intersecting (y union z) = (x intersecting y) union z

I just for some reason cannot see this solution and need a shove in the right direction

- #2

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- #3

lanedance

Homework Helper

- 3,304

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[tex] x \cap (y \cup z ) = (x \cap y) \cup ( x \cap z) [/tex]

this shoudln't be too difficult to prove if need be

- #4

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- #5

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so lanedance I can just say that if

[tex]x\cap z = z [/tex]

then the first equality holds?

[tex]x\cap z = z [/tex]

then the first equality holds?

- #6

lanedance

Homework Helper

- 3,304

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yeah, so

[tex] x\cap z = z \rightarrow[/tex]

[tex] x \cap (y \cup z ) = (x \cap y) \cup z [/tex]

you should convince yourself through venn diagrams or proof, why this is case

[tex] x\cap z = z \rightarrow[/tex]

[tex] x \cap (y \cup z ) = (x \cap y) \cup z [/tex]

you should convince yourself through venn diagrams or proof, why this is case

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