Null Set

Q. Why null set is the subset of every set?

Q.

Is division closed under natural numbers

Q.

A ___ set is the subset of every set.

Q.

Write the following sets in descriptive form

Q = {x : x is a prime number between $10$ and $20$}

Q.

State whether the given collection is a set or not:

A collection of all easy problems in your mathematics book.

Q. If A is the set of natural numbers and B is the set of whole numbers, then

1. A is the superset of B
2. A and B are disjoint
3. B is the superset of A
4. None of the above

Q. what is euler"s totient function?

Q.

If A = {prime numbers between 19 and 23}, then A is

1. A singleton set

2. An infinite set

3. None of the above

4. A null set

Q.

Which of the following statements are correct?

1. A = {x: -10<x<2, x is a natural number}

2. B = {x:x is an even prime number greater than 2}

3. C = {x: x²- 3=0. X is rational number}

4. D = {x: x is an odd natural number divisible by 2}

Q.

$A=\{x:x\in R,x^2=16\text{and}2x=6\}$ can be represented in the roster form as _________ .

1. A = {}

2. A = { 14, 3, 4 }

3. A = { 3 }

4. A = { 4 }

Q.

Objects use to form a set are called its ____ or ____.

Q.

A set having no element is called the empty set.

1. True

2. False

Q.

The set of even prime numbers that are greater than 2 is a/an _____________.

1. singleton set

2. empty set

3. disjoint set

4. infinite set

Q. Which of the following is not a null set?

1. A = { $x:x\in$ N, 2 < $x$ < 10 }
2. B = { $x:x$ is an even prime number greater than 2 }
3. C = { $x:x$ is a rational number, $x^2$ - 3 = 0 }
4. D = {$x:x$ is an odd natural number divisible by 2}