Intersection Sets

Question

Left U = {a, b, c, d, e, f, g} and X = {a, c, e, g} and Y = {a, b, c} and Z = {b, c, d, e, f}

Find X' intersection symbol Y'

 

a.  {d, f}

 

b.  {a, c, e, g, b}

 

c.   {a, c}

 

d. none of the above

Answer 1

The complements are

 

X' = {b,d,f}

 

Y' = {d,e,f,g}

 

Therefore, X' ∩ Y' = {d,f}

 

This is choice (a).

Answer 2

X' is the complement to set X  which means the elements of the universal set U, that are not in X

 

If X={a,c,e,g} then X'={b,d,f}

 

   Y={a,b,c}  then Y'={d,e,f,g}

 

For X' intersect Y'  = {d,f},   the common elements for X' and Y'