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

Answer:

Step-by-step explanation:

A set that does not contain any element is known as an empty set or a null or a void set .

i) The set of straight lines passing through a point

It is a non - empty set as we can draw infinity lines that can pass through a point

ii ) Set of odd natural numbers divisible by 2

It is an empty set as the numbers that are divisible by 2 are called even numbers

iii ) { x : x is a natural number , x<5 and x>7 }

It is an empty set

iv ) { x : x is a common point to any two parallel lines

It is an empty set as parallel lines do not have a common point.

v ) Set of even prime numbers

It is not a non - empty set .

Answer 2

Answer:

(ii) { }

(iii) { }

(iv) { }

(v) {2}

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