Question

Let A = {a, b, c, d, e} and B = {a, c, f, g, i}. Universal Set: ∪= {a,b,c,d,e,f,g,h,i}

1. A ∪ B^c

2. B - A

Answer 1

1. { a, b, c, d, e, h }

2. { f, g, i }

Explanation:

Given sets,

A = {a, b, c, d, e},

B = {a, c, f, g, i}

Universal set , ∪ = {a, b, c, d, e, f, g, h, i},

1. Since,
`B^c` = elements of universal set which are not in set B

= U - B

= { b, d, e, h },

Thus,

`A\cup B^c` = All elements of A and
`B^c`

= { a, b, c, d, e, h }

2. B - A = elements of set B which are not in set A

= { f, g, i }