Question

Prove:
\[ (A-B) \cup (B-A) = (A \cup B) - (A \cap B) \]

Answer 1

what is cup?

Answer 2

what did i do wrong?

Answer 3

Union..

Answer 4

cup = union
cap = intersection

Answer 5

Cup is Union and cap is Intersection..

Answer 6

I am writing it once again..

Answer 7

Why didnt it work :(((

Answer 8

\[ (A-B) \cup (B-A) = (A \cup B) - (A \cap B)\]

Answer 9

what is A/cupB

Answer 10

ahh

Answer 11

i must have done smth wrong

Answer 12

Do not use \{\} brackets instead use \[\] these brackets..

Answer 13

sorry phone be back in a sec

Answer 14

For this:

Take any element that belongs to the set \((A-B) \cup (B-A)\)

Suppose it as x..

So,

\[x \in (A-B) \cup (B - A)\]

Or you can say:

\[x \in (A - B) \quad \color{green}{Or} \quad x \in (B - A)\]

\[(x \in A \; and \; {x \cancel{\in} B)} \quad Or \quad (x \in B \; and \; x \cancel{\in} A)\]

\[(x \in A \; Or \; { \in B)} \quad and \quad (x \cancel{\in} B \; Or \; x \cancel{\in} A)\]

\[x \in (A \cup B) \; and \; x \cancel{\in} (A \cap B)\]

\[x \in (A \cup B) - (A \cap B)\]

Answer 15

THHANNKKSSS GUYYSSSS

Answer 16

both (A-B)U(B-A) and (AUB)-(A^B) represent the same region.
so both must be equal