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Identify the sets given below as equivalent, disjoint and overlapping sets :

(i) A = set of letter in the word 'MAD'      B = Set of letters in the word 'PEN'

(ii) R = Letters in the word 'COLOR'       Q = Letters in the word 'DONOR'

(iii) H = {Months of the year}               I = { Natural numbers from 1 to 12 }

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

(i) A = set of letter in the word 'MAD'      B = Set of letters in the word 'PEN'

 

A = {M, A, D} and B = { P, E, N}

The no. of elements in both sets is 3. Hence, A and B are equivalent sets.

 

(ii) R = Letters in the word 'COLOR'       Q = Letters in the word 'DONORS'

R = { C, O, L, R}  and Q = {D, O, N, R, S}

Elements O and R of set R overlap with elements of set Q. Hence, set R and Q are overlapping sets.

 

(iii) H = {5, 6, 7, 8}               I = { a, b, c, d }

 

None of the elements of set H and I are common. Hence, they are disjoint sets.
Answered by Expert 4th June 2014, 3:23 PM
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