Question

19. If A = {a, b, c, d, e }, B = {a, c, e,g} C = {b, d, e, g} , then which of the following is true
a) C C(AUB) b) CC(ANB) c) AUB=AUC
d) Both a and b​

Answer 1

$\bf\huge {ANSWER}$

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

B = { a , c , e , g }

C = { b , d , e , g }

a ) $\rm A\cup B$ = { a , b , c , d ,e , g }

   All the elements of C are in $\rm (A\cup B )$ .

   $\rm\bf \therefore C \subset (A \cup B )$

b ) $\rm (A\cap B)$ = { a , c , e }

   All the elements of C are not in $\rm (A\cap B)$ .

   $\therefore\bf C \ is \ not \ a \ subset \ of (A\cap B)$

c) $\rm (A\cup B)=$ { a , b , c , d , e , g }

   $\rm (A\cup C)$ = { a , b , c , d , e , g }

    L.H.S = R.H.S

    $\bf \therefore A\cup B=A \cup C$

Option a and option c are true .

HOPE IT HELPS U ...............