Which of the following represents the set A = { 1, 4, 9, 16, 25}?
(A) A = { x:x is a square of natural number and less than 30}
(B) A = { x:x is an odd natural number less than 30}
(C) A = { x:x is an odd natural number between 1 to 30}
(D) A = { x:x is a natural number less than 30}
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Option A
A = {x : x is a square of natural number and less than 30}
= {1, 4, 9, 16, 25}
Step-by-step explanation:
- (A) A = {x : x is a square of natural number and less than 30}
- = {1, 4, 9, 16, 25}
- (B) A = { x : x is an odd natural number less than 30}
- = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}
- (C) A = { x : x is an odd natural number between 1 to 30}
- = {3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}
- (D) A = { x : x is a natural number less than 30}
- = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}
Thus, Option (A) is the correct option.
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