Question

given that the sets A={f,a,c,e} and B={e,g,d,f} are subset of the universal set U={a,b,c,d,e,f,g} list the element of
Q1 A'
Q2 B'
Q3 AUB
Q4 (AUB)'
Q5 AUB'
Q6 A'UB'
Q7 UUØ
Q8 UUØ
​

Answer 1

Step-by-step explanation:

A={f,a,c,e} , B={e,g,d,f} are subset of the universal set U={a,b,c,d,e,f,g}

(1)A'=U-A

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

={b,d,g}

(2)B'=U-B

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

={a,b,c}

(3)AUB={a,b,c,d,e,f,g}

(4)(AUB)'=U-(AUB)

. = {a,b,c,d,e,f,g}-{a,b,c,d,e,f,g}

=Ø

(5)AUB'={f,a,c,e}U{a,b,c}

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

(6)A'UB'={b,d,g}U{a,b,c}

={a,b,c,d,g}

(7)UUØ=U

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

(8)UUØ=U

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