A, U, B are sets and Ø is an empty set. I'm asked to prove that if (U = intersection of A and B) and (intersection of A and B = Ø) then A = U\B. I'm not sure how to begin solving this problem.
Follow Math Help Forum on Facebook and Google+
Originally Posted by spruancejr A, U, B are sets and Ø is an empty set. I'm asked to prove that if (U = intersection of A and B) and (intersection of A and B = Ø) then A = U\B. Please review what you posted. The blue and read both say intersection. Is that right? If so, the question is nonsense.
You're right, it's supposed to be if (U = union of A and B) and (intersection of A and B = Ø) then A = U\B.
Take note that $\displaystyle U\setminus B=U\cap B^c=(A\cup B)\cap B^c=?$
View Tag Cloud