How do you prove this? 7) For sets A,B,C prove (A - B) ∪ (C - B) = (A ∪ C) - B by showing Left side ⊆ Right side and Right side ⊆ Left side.
1 Answer
Jan 31, 2018
The proposition is true
Explanation:
1.- Let
That means
if
if
Thus
We have proven that
2.- Let
That means
So
That means
Thus we have
We have proven that
Both inclusions are true, so
QED (Quod Erat Demonstrandum in Latin)