Using distributive property find X⋂(Y⋃Z)

The distributive property in set theory states that for any three sets X, Y, and Z, the intersection of a set with the union of two other sets is equal to the union of the intersection of the first set with each of the other sets.

So, X⋂(Y⋃Z) = (X⋂Y) ⋃ (X⋂Z)

Here's the step-by-step process:

1. Start with the expression X⋂(Y⋃Z).
2. Apply the distributive property to this expression. This gives us (X⋂Y) ⋃ (X⋂Z).
3. This is your final answer.

So, X⋂(Y⋃Z) = (X⋂Y) ⋃ (X⋂Z).