Question

Match the value to the smallest set that contains that value. |-21 |

Real Number

Rational Number

Irrational Number

Integer

Whole Number

Natural Number

Answer 1

Natural Number..............

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO CHOOSE THE CORRECT OPTION

The smallest set that contains the value |- 21|

• Real Number

• Rational Number

• Irrational Number

• Integer

• Whole Number

• Natural Number

CONCEPT TO BE IMPLEMENTED

Here

$\sf{ \R = The \: set \: of \: Real \: numbers }$

$\sf{ \mathbb{Q} = The \: Set \: of \: Rational \: numbers }$

$\sf{ \mathbb{R-Q }= The \: set \: of \: irrational \: numbers}$

$\sf{ \Z = The \: Set \: of \: Integers}$

$\sf{ \mathbb{W }= The \: Set \: of \: Whole \: numbers}$

$\sf{ \N =The \: Set \: of \: Natural \: numbers}$

The relation between above sets are

$\sf{ \mathbb{N \sub W \sub \: Z \sub \: Q \sub \: R}}$

So the set of Natural numbers is the smallest set among the above sets

CALCULATION

Here

$\sf{ | \: - 21 \: | = 21}$

Now 21 is a Real number, Rational number, Integer, Whole number, Natural number

Hence the smallest set that contains that value |- 21 |

is Natural number

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If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U)

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