Question

Tick the set which is infinite(A) The set of whole numbers < 10 (B) The set of prime number < 10(C) The set of integers < 10 (D) The set of factors of 10

Answer 1

Answer:

The set of integers < 10 is Infinite Set

Step-by-step explanation:

(A) The set of whole numbers < 10

whole numbers = 1 ,2 , 3, ..........

whole numbers < 10 = 1 , 2 , 3 , 4, 5 , 6 , 7 , 8 , 9

A = {1 , 2 , 3 , 4, 5 , 6 , 7 , 8 , 9}

(B) The set of prime number < 10

2 , 3 , 5 , 7

B = { 2 , 3 , 5 , 7}

(C) The set of integers < 10

Integers  =  .............., -3 , - 2, - 1 , 0 , 1 , 2 , 3 ,.,.............

set of integers < 10

C ={ .............., -3 , - 2, - 1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9}

C = Infinite Set

(D) The set of factors of 10

10 = 1 * 10   & 2 * 5

D = { 1 , 2 , 5 , 10 }

The set of integers < 10 is Infinite Set

Answer 2

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

DEFINITION

SET : A set is a well defined collection of distinct objects

FINITE SET : A set is said to be finite set if it contains finite number of elements

INFINITE SET : A set is said to be infinite set if it contains infinite number of elements

TO DETERMINE

Tick the set which is infinite

• (A) The set of whole numbers < 10

• (B) The set of prime number < 10

• (C) The set of integers < 10

• (D) The set of factors of 10

CALCULATION

(A) The set of whole numbers < 10

The set is = { 0,1,2,3,4,5,6,7,8,9 }

Which is finite set

(B) The set of prime number < 10

The set is = { 2,3,5,7 }

Which is finite set

(C) The set of integers < 10

The set is = { 9,8,7,6,5,4,3,2,1,0,-1,-2,-3,........ }

Which is infinite set

(D) The set of factors of 10

The set is = { 1, 2, 5, 10 }

Which is finite set

RESULT

Hence the infinite set is

(C) The set of integers < 10

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

Represent all possible one-one functions from the set A = {1, 2} to the set B = {3,4,5) using arrow diagram.

https://brainly.in/question/22321917