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Can someone explain this to me please

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Y ⊆ Z ⇒ (X ∩ Y ) ⊆ (X ∩ Z).
not sure how to follow the logic

Reply 1

FailedMyMocks

Makes two of us my friend. Don't know what the ⊆ sign is... never seen it before :s-smilie:

Reply 2

Doones

Original post by sdfsdd

Y ⊆ Z ⇒ (X ∩ Y ) ⊆ (X ∩ Z).
not sure how to follow the logic

Moved to the Maths study help forum. :smile:

Y is a subset of Z ...

Reply 3

RDKGames

Study Forum Helper

Original post by sdfsdd

Y ⊆ Z ⇒ (X ∩ Y ) ⊆ (X ∩ Z).
not sure how to follow the logic

Think about it.

Since all of Y is in Z, intersecting it with X would require that the elements of XnY are in X, Y, and Z.
Intersecting Z with X only requires that the elements of that set are in X and Z.

So, the first is a stricter set than the second, hence we can say it is a subset of the second.