Question

If X and Y are two sets such that x intersection Y has 10 elements X has 28 elements and Y has 32 elements .how many elements does X union Y have

Answer 1

Answer:

X ∪ Y  = 50

Step-by-step explanation:

If X and Y are two sets such that x intersection Y has 10 elements X has 28 elements and Y has 32 elements .how many elements does X union Y have

X  = 28

Y = 32

X ∩ Y = 10

X only = X - X∩Y  = 28 - 10 = 18

Y only = Y - X∩Y  = 32 - 10 = 22

X ∪ Y  = X only + Y only  + X∩Y

X∪Y = 18 + 22 + 10

X ∪ Y  = 50

or

X ∪ Y = X + Y - X∩ Y  = 28 + 32 - 10 = 50