The question is that how do i prove that there is an inclusion between these two prepositions
(A ∩ B) ∪ C,
A ∩ (B ∪ C)
(A ∩ B) ∪ C,
A ∩ (B ∪ C)
So what i did is
(x ∈ A ^x∈B)vx∈C
(x∈A^x∈C)v(x∈C^x∈B) - distributed U over intersection
so (x∈AnC)v(x∈CnB)
(x ∈ A ^x∈B)vx∈C
(x∈A^x∈C)v(x∈C^x∈B) - distributed U over intersection
so (x∈AnC)v(x∈CnB)
Original post by Selekt1234
So what i did is
(x ∈ A ^x∈B)vx∈C
(x∈A^x∈C)v(x∈C^x∈B) - distributed U over intersection
so (x∈AnC)v(x∈CnB)
(x ∈ A ^x∈B)vx∈C
(x∈A^x∈C)v(x∈C^x∈B) - distributed U over intersection
so (x∈AnC)v(x∈CnB)
I don't know what method/terminology you're expected to use given what you've put, BUT since the first set contains the second set, I would start with the second set, and show that if x is in that, then it's in the first set.
the question is that if there is inclusion prove it logically, if two sets are the same prove it logically hence i did the via that method
Original post by Selekt1234
the question is that if there is inclusion prove it logically, if two sets are the same prove it logically hence i did the via that method
I don't know why "that method" follows from "prove it logically". It's not a variation I've come across, so can't help you.
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