# 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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