Homework Statement
Give an element-wise proof for the following: If A⊆B and B⊆C', then A ∩ C = ∅
Homework Equations
A is a subset of B (written A ⊆ B) if every element in the set A is also an element in the set B. Formally, this means that fore every x, if x ∈ A, then x ∈ B.
A ∩ B = { x ∈ U ...
I'm sorry. I probably should of spaced the relevant equations better. According to the properties in my textbook, one way the distributive property can be written as is...
a + (bc) = (a+b)(a +c)
so I'm treating a as my 1st part and bc as my 2nd part.
Now to my work... in the previous...
Homework Statement
Am I doing this right? The question is...
(ab) + (a' + b') = 1
Homework Equations
(a) Commutative a · b = b · a a + b = b + a
(b) Associative (a · b) · c = a · (b · c)...