Question

Which of the following is not empty set
1) A={x: 1<x<2, x is a natural number between
1 and 2
2)B= {x:x² - 2 = 0 and x is rational}
3) C = {x:x is even prime number >2}
4)D= {x:x² = 0 and x is integer;​

Answer 1

ANSWER

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Answer 2

$\bf\huge\gray{ANSWER}$

$\bf{Empty \: set }$

• The empty set is set in which no element are present .

$\bf{Explanation }$

The following are not

empty set :

$\sf \green{Example - 1}$

• 1) A={x: 1<x<2, x is a natural number between 1 and 2}

The given set is not empty set because there are no natural numbers present between 1 and 2.

$\bf{hence}$

$A=Ø$

$\sf \pink{Example -2}$

• B= {x:x² - 2 = 0 and x is rational}

The given set is not empty set because x²=2 doesn't have rational solution.

$\bf{hence}$

$B = Ø$

$\sf \red{Example -3}$

• C = {x:x is even prime number >2}

The given set is not empty set because there is only one even prime 2.

$\bf{hence}$

$C = Ø$

$\bf\huge\gray{THANKS}$