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 }