Question

State which of the following are set are finite or infinite. Give reasons.l

A = { x: x € N and x.< 100 }
​

Answer 1

Step-by-step explanation:

Finite sets are sets that have a finite number of members. If the elements of a finite set are listed one after another, the process will eventually “run out” of elements to list.

Example:

A = {0, 2, 4, 6, 8, …, 100}

C = {x : x is an integer, 1 < x < 10}

An infinite set is a set which is not finite. It is not possible to explicitly list out all the elements of an infinite set.

Example:

T = {x : x is a triangle}

N is the set of natural numbers

A is the set of fractions

The number of elements in a finite set A is denoted by n(A).

Example:

If A is the set of positive integers less than 12 then

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and n(A) = 11

If C is the set of numbers which are also multiples of 3 then

C = {3, 6, 9, …} and C is an infinite set

If D is the set of integers x defined by –3 < x < 6 then

D = {–2, –1, 0, 1, 2, 3, 4, 5} and n(D) = 8 If Q is the set of letters in the word ‘HELLO’ then

Q = {H, E, L, O } , n(Q) = 4 ← ‘L’ is not repeated.

hope you like it...

please mark me as brain list

Answer 2

Step-by-step explanation:

Hey mate

There is only one option there

I think u haven't posted the full question

A]

This is a finite set

because

Their is given that numbers less than where x€N

so it is finite set

Hope it helps

Thank you

Regards