Question

Find the cardinal number of set R = {x : x is an integers, x∈Z and –5 ≤ x <5}

Answer 1

$\boxed{\undeline{ \textbf{ Terms to be known}}}$

Cardinal number : The number of elements in set is it's cardinal number.
Set : Collection of well defined objects.
Integers : The collection of whole numbers along with negative numbers

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Given,
x ∈ Z and –5 ≤ x <5

So, x = -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4

Set R = { -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 }

n(R ) = 10 .

Therefore, The cardinal number of the set R is 10

Answer 2

Hi ,

R = { x : x € Z , and -5≤ x < 5 }

R = { -5, -4 , -3,-2,-1,0,1,2,3,4 }

Cardinal number of R

= n( R ) = 10

I hope this helps you.

: )