Question

State which of the following sets are empty and which are not?(i) The set of straight lines passing through a point.(ii) Set of odd natural numbers divisible by 2.(iii) {x : x is a natural number, x < 5 and x > 7}(iv) {x : x is a common point to any two parallel lines}(v) Set of even prime numbers.

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:

empty set is a 1 and 4

Step-by-step explanation:

because the 2 parallel line are do not intersect of 1 line