Question

Are the following pair of sets equal ? Give reasons.
(i) A= {2,3}, B = {x: x is solution of x2 + 5x + 6 = 0;
(ii) A = {x:x is a letter in the word FOLLOW
B = {y:y is a letter in the word WOLF​

Answer 1

Answer:

Are the following pair of sets equal ? Give reasons.

(i) A={2,3},B={x:x is solution of x

2

+5x+6=0}

(ii) A={x:x is a letter in the word FOLLOW}

B={y:y is a letter in the word WOLF}

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VIDEO EXPLANATION

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

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