Question

Which of the following are empty sets ? why? (i) A = {a a is a natural number smaller than zero.} (ii) B = {x|x²=0} (iii) C= {x|5x-2=0, x=N} ​

Answer 1

Answer:

Set A and C would be empty sets.

Step-by-step explanation:

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Answer 2

Answer:

Set A and Set C are Empty set.

Step-by-step explanation:

(i) Set A is an Empty set.

Reason:- No Natural number exists which is less than 0.

(ii) Set B is not an Empty set.

Reason:- If x²=0 => x=0. Therefore, B = {0}

(iii) Set C is an Empty set.

Reason:- If 5x-2=0 => 5x=2 => x=2/5. But here it is given that x must be a Natural number and 2/5 is not a Natural number.

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