Answer :

(i) Given: A = {a, b, c, d} B = {d, c, b, a}.

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.

(ii) Given: A = {4, 8, 12, 16} B = {8, 4, 16, 18}.

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

As 12 Є A but 12 does not belongs to B.

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

∴ A≠B.

(iii) Given: A = {2, 4, 6, 8, 10} B = {x : x is positive even integer and x ≤ 10}.

Let we represent the set B in roaster form:

⇒ x is positive even integer and x ≤ 10= {2,4,6,8,10}.

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 have same element.

∴ A=B.

(iv) Given: A = {x : x is a multiple of 10}, B = {10, 15, 20, 25, 30, . . .}

Let we represent the set A in roaster form:

⇒ Set A = x is a multiple of 10= {10, 20 , 30 ,…}.

And set B ={10, 15, 20, 25, 30, . . .}

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

As 15 Є B but 15 does not belongs to B

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

∴ A≠B.

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