Question

WILL MARK AS BRAINLIEST IF ANSWERED CORRECTLY!!!

The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P).

Which is represented by Ø?

E ∩ P

O ⋃ P

E ∩ O

O ⋃ E

Answer 1

Answer:

E intersection O

3rd option

Step-by-step explanation:

because there is no common integer in even of odd

Answer 2

Given that the three types of numbers :

Odd (O) , Even (E) and Prime (P)

To find :

The set represented by Ø

SOLUTION :

Let the set of all odd numbers be O

O= {1,3,5,...}

Let the set of all even numbers be E

E=  {2,4,6,...}

Let the set of all prime numbers be P

P=  {1,2,3,5,...}

The set Ø is  the empty set.

That is there is no elements

In notation The set Ф = {set having no elements}= Neither odd nor even nor prime numbers

From the set E, the number 2 is the only even and  prime number

Hence $E\bigcap P\neq \phi$

O ⋃ P and  O ⋃ E are union sets hence they must not be empty set.

E ∩ O  is the only set having no elements

Hence the set Ф = E ∩ O

Therefore Option E ∩ O is correct.