Question

show that A B A B= A IN SET THEORY​

Answer 1

Answer:

Remember that "A−B" means "The set of things in A but not in B." So "A−B=B−A" means "The things in A but not B are exactly the things in B but not A."

Now, for which A and B is this equation true? As always, when you're trying to understand new abstract concepts (in this case, set difference and Boolean operations in general) it's best to try some examples. Does the equation A−B=B−A hold for A={1,2,3}=B? What about A={1,2,3},B={1,2}? What about A={1,2,3},B={2,3,4}?

Based on these examples, you should be able to make a good guess at what the answer should be. Now, try to prove it! (As usual, this will look like "Assume x∈A−B. Then [stuff]. So x∈B−A. etc.")

Step-by-step explanation:

Hope you will have your problem solve