Question

If x and y be the set , then the set(x-y) union(y-x) union(x intersection y) equal to

Answer 1

Answer:

unique is right snswer

Answer 2

Answer:

The set (x-y)∪(y-x)∪(x∩y)  is equal to  (x∪y)

Step-by-step explanation:

Explanation:

Given ,two set x and y

(x-y)∪(y-x)∪(x∩y)

Let element of set x be {a,b,c,d,e,f}

and set y be {g,h,i,j,c,d}

Step 1:

Therefore , (x-y ) = {a,b,e,f}

(Where (x-y) represent the elements only in x )

Similarly , (y -x) = {g,h,i,j,c,d}

(y-x) represent the elements only in y

Now , (x∩y) = {c,d} (common elements )

Step2:

we have ,

(x-y)∪(y-x)∪(x∩y)  = {a,b,e,f} ∪ {g,h,i,j} ∪ {c,d}

⇒ (x-y)∪(y-x)∪(x∩y) = {a,b,c,d,e,f,g,h,i,j} ........(i)

But (x∪y) = {a,b,c,d,e,f,g,h,i,j}..(ii)

From  i and ii we get ,

(x-y)∪(y-x)∪(x∩y)  = (x∪y)

Final answer :

Hence , the set (x-y)∪(y-x)∪(x∩y)  is equal to  (x∪y).