Question

EXERCISE - 2.4
State which of the following sets are empty and which are not
0 The set of lines passing through a point
(1) Set of odd natural numbers divisible by 2.0 F T
(m) (x:x is a natural number. x<5 andr> Nol set
(iv) {xx is a common point to any two paralel lines) nols
(v) Set of even prime numbers 2 is the only enthe set of lines passing through a point the set of lines ​

Answer 1

Hi ,

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A set which does not contain any

element is called an empty or

null or a void set .

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i ) The set straight lines passing through

a point is a non - empty set

[ We can draw infinitly many lines

passing through a point ]

ii ) Set of odd natural numbers divisible

by 2 is an empty set .

[ Numbers which are divisible by 2

are called even numbers ]

iii ) { x : x € N , x<5 and x>7 }

is an empty set

iv ) { x : x is a common point to any

two parallel lines } is an empty set.

[ Parallel doesn't have a common

point . ]

v ) Set of even prime numbers is not

a non - empty set .

{ 2 }

I hope this helps you.

: )

Answer 2

answer is in the attachment