Question

9.
Are two sets A and B equal? Give reasons to support your an
(a) A= {x:xis a letter in the word SEAT
(b)​

Answer 1

Answer:

(i) A={2,3}

B={x:x is a solution of x

2

+5x+6=0}

x

2

+5x+6=0

x(x+3)+2(x+3)=0

(x+2)(x+3)=0

x=−2 or x=−3

∴B={−2,−3}

∴A



=B

(ii) A={x:x is a letter in the word FOLLOW}={F,O,L,W}

B={y:y is a letter in the word WOLF}={W,O,L,F}

The order in which the elements of a set are listed is not significant.

∴A=B