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# Can someone explain this to me please watch

1. Y ⊆ Z ⇒ (X ∩ Y ) ⊆ (X ∩ Z).
not sure how to follow the logic
2. Makes two of us my friend. Don't know what the ⊆ sign is... never seen it before
3. (Original post by sdfsdd)
Y ⊆ Z ⇒ (X ∩ Y ) ⊆ (X ∩ Z).
not sure how to follow the logic
Moved to the Maths study help forum.

Y is a subset of Z ...
4. (Original post by sdfsdd)
Y ⊆ Z ⇒ (X ∩ Y ) ⊆ (X ∩ Z).
not sure how to follow the logic

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.
5. (Original post by RDKGames)

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.
thx, i get it now.

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Updated: February 10, 2018
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