Q. 3 D5.0( 2 Votes )

Which of the following are pairs of equal sets?

G = {–1, 1} and H = {x : x ϵ Z, x2 – 1 = 0}.

Answer :

Equal Sets = Two sets A and B are said to be equal if they have exactly the same elements & we write A = B


We have,


G = {-1, 1}


and H = {x : x ϵ Z, x2 – 1 = 0}


Here, x Z and x2 – 1 = 0


The given equation can be solved as:


x2 – 1 = 0


x2 = 1


x = √1


x = ± 1


x = -1 and 1


H = {-1, 1}


G = H because elements of both the sets are equal.


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