Which of the following types of numbers are mutually exhaustive?

  • Option 1)

    \mathbb{R},\mathbb{Z}

  • Option 2)

    R^{+},R

  • Option 3)

    \mathbb{Z}, \mathbb{N}

  • Option 4)

    W,R^{-}

 

Answers (1)
H Himanshu

As we learned

Mutually exclusive events -

Two or more events are said to be mutually exclusive if one of them occurs other cannot occur.

A_{i}\cap A_{j}= \phi

- wherein

where 

A1 & A2 having no common element.

 

 Here R= Real Number

R+ = Positive real Number

\mathbb{Z}= Integers , W = Whole Number, N= Natural Number, 

Since W > 0 and R- < 0 (D) is answer

 


Option 1)

\mathbb{R},\mathbb{Z}

Option 2)

R^{+},R

Option 3)

\mathbb{Z}, \mathbb{N}

Option 4)

W,R^{-}

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