 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Question from Jim, a student: Suppose A and B are sets and (A union B) = (A intersect B). Is it true that A=B. |
Hi Jim,
You can prove that A = B by showing that A ⊂ B and B ⊂ A. Start with showing that A ⊂ B.
Let x ε A then x ε A ∪ B. Can you proceed from here?
Penny
| ||
| ||
| ||
 |
 |
|
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.