Question

Which of the following sets are empty sets ? Choose the correct alternative answer for the following question.
(A) set of intersecting points of parallel lines
(B) set of even prime numbers.(C) Month of an english calendar having less than 30 days.(D) P = {x|x∈I,-1

Answer 1

Answer:

(A). Set of intersecting points of parallel lines.

Step-by-step explanation:

In the question,

Empty sets: Empty sets are the sets those who don't consist any value and is represented by ∅.

The parallel lines are never intersecting with each other, therefore, any point lying on the two parallel distinct lines, can never be common with each other.

So,

The set of intersecting points of parallel lines will be an Empty Set, ∅.

However,

We have one even Prime number as well therefore, the intersection will not be an Empty set.

and,

Month of English calendars have February having less than 30 days.

also,

-1 is an Integer.

Hence, the correct option is (A).

Answer 2

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DEFINITION

EMPTY SET

A set is said to be Empty Set if it contains no element

TO CHOOSE THE CORRECT OPTION

Search for Empty sets from below sets :

• (A) Set of intersecting points of parallel lines

• (B) Set of even prime numbers.

• (C) Set of Month of an english calendar having less than 30 days.

• (D) P = {x|x∈ I ,-1<x<1}

CALCULATION

CHECKING FOR OPTION : 1

Since two parallel lines never intersect

Hence the Set of intersecting points of parallel lines is EMPTY

CHECKING FOR OPTION : 2

Let S be the Set of even prime numbers

Now 2 is the only even prime number

Therefore S = { 2 }

So S is a singleton set

Hence the Set of even prime numbers is NON EMPTY

CHECKING FOR OPTION : 3

Let M be Month of an english calendar having less than 30 days

Since February is the only month of an english calendar having less than 30 days

Therefore M = { February }

So M is a singleton set

Hence the set month of an english calendar having less than 30 days is NON EMPTY

CHECKING FOR OPTION : 4

P = { x : x ∈ I ,-1<x<1 }

Since I is the set of integers

Therefore P = { 0 }

So P is a singleton set

Hence P = { x : x ∈ I ,-1<x<1 } is a NON EMPTY set

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LEARN MORE FROM BRAINLY

If A and B are two non empty sets then A∪B=B∩A iff 

A⊂B

B⊂A

A=B

None of these

https://brainly.in/question/24020831