Hello to everyone! Could someone say me the answer of the following set question? A ∩ B ⊆ A ∪ B = Prove! It needs a proving like the example below: A ∩ B = {x|x€A and x€B} Thanks, Best wishes.
Follow Math Help Forum on Facebook and Google+
Originally Posted by kalle Hello to everyone! Could someone say me the answer of the following set question? A ∩ B ⊆ A ∪ B = Prove! It needs a proving like the example below: A ∩ B = {x|x€A and x€B} Thanks, Best wishes. Lets consider the case where both sets are non-empty. the result holds trivially in the cases where both are empty or is empty. (why?) to prove we must show that if , then . Assume . Then and . Clearly it holds that or , so that . Thus,
View Tag Cloud