- #1
Jairo Rojas
- 17
- 0
Homework Statement
Attached is the problem
Homework Equations
The Attempt at a Solution
So I have to show that each side is a subset of the other side
Assume x∈ A ∪ (∩Bi)
so x∈A or x∈∩Bi
case 1 x∈ ∩ Bi
so x∈ (B1∩B2∩B3...∩Bn)
which implies x∈B1 and x∈B2 ... and x∈Bn
so x∈B1∪A and x∈B2∪A... and x∈Bn∪A
so x∈∩(A∪Bi)
My teacher told me that this approach doesn't work because the sets can be infinite and told me to use "words". I don't what he meant with that.