Question

If U={a,b,c,d,e,f,g,h},A={b;d,f,h},B={a,d,e,h}1.A' 2.B' 3.A'intersection B' 4.A'unionB' 5.(A union B)' 6.(A intersection B)' 7.(A')' 8.(B')'

Answer 1

U={a,b c d e f g h} , A={b d f h} ,B={a d e h}
1.A' = U - A
= {a,c,e,g}

2.B' = U-B
= {b,c,f,g}

3.A' intersection B'
= {a,c,e,g} intersection {b,c,f,g}
= {c,g}

4.A' union B'
={a,c,e,g} union {b,c,f,g}
={a,b,c,e,f,g}

5.(A union B)'
=A={b,d,f,h}
= B= {a,d,e,h}
= A union B
={a,b,d,e,f,h}
(A union B)' = U - A union B
= {a,b,c,d,e,f,g,h} - {a,b,d,e,f,h}
={c,g}

6.(A intersection B)'
=A intersection B = {d,h}
= (A intersection B)' = U - A intersection B
= {a,b,c,e,f,g}

7.(A')'
= A' = U - A
= {a,c,e,g}
(A')'= U-A'
= {a,b,c,d,e,f,g,h} - {a,c,e,g}
={b,d,f,h}

8.(B')'
=B' = U - B
{a,b,c,d,e,f,g,h} - {a,d,e,h}
= {b,c,f,g}
(B')' = U - B'
{a,b,c,d,e,f,g,h} - {b,c,f,g}
= {a,d,e,h}

Here is ur answer dear

May this help uh