Q. 54.4( 51 Votes )

Are the following

Answer :

(i) Given: A = {2, 3}, B = {x : x is solution of x2 + 5x + 6 = 0}


Solution of equation x2 + 5x + 6 = 0


x2 + 3x + 2x + 6 = 0


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


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


x = {-3,-2}


Let we represent the set B in roaster form:


Set B = {x is solution of x2 + 5x + 6 = 0}={-3,-2}.


And set A ={2,3}


Two set A and B are said to be equal if they have exactly same elements then we say A = B.


Because the elements of set A and B do not have same numbers.


A≠B.


(ii) Given: A = {x : x is a letter in the word FOLLOW},B = {y : y is a letter in the word WOLF}.


Let we represent the set A in roaster form:


Set A = {x : x is a letter in the word FOLLOW}={F,O,L,W}.


Let we represent the set B in roaster form:


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


Two set A and B are said to be equal if they have exactly same elements then we say A = B.


Because elements of set A and B do not have significant order, but A and B have same element.


A=B.


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