Question1

U= Universe

Let U = { a, b, c, d, e, f, g },

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

X ∩ Y =

{ a, b, c, e, g }
{ a, c }
{ a, b, c, d, e , f, g}
{ c, e}

Question 2
Let U = { a, b, c, d, e, f, g },

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

Y U Z =

{ b }
{ a, b, c }
{ b, c }
{ a, b, c, d, e, f }

Question 3
Let U = { a, b, c, d, e, f, g },

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

X ' =

a, c, e, g }
{ b, d, f }
{ b, d }
{ a, b, c}

Question 4
Let U = { a, b, c, d, e, f, g },

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

Y' =

[ a, b, c }
{ d }
{ d, e, f, g }
{ e, f, g }


Question 5
Let U = { a, b, c, d, e, f, g },

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

Y ∩ Z

Y intersection Z if symbol not showing.

{ a, d, e f }
{ b, c }
{ a, b, c, d, e, f }
{ a }

Question 6
Let U = { a, b, c, d, e, f, g },

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

X' U Z' =

{ b, f, g }
{ a, b, c, d, e, f, g }
{ e, f }
{ a, b, d, f, g }

Question 7
Let U = { a, b, c, d, e, f, g },

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

X U ( Y ∩ Z)

X Union (Y intersection Z) if symbols not showing

{ a, b, c, e, g }
{ b, c }
{ a, b, c }
{ b, c, e, g }