Home
Class 10
MATHS
State which of the following sets are em...

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

Text Solution

Verified by Experts

The correct Answer is:
(i) Not emtpy (ii) Empty (iii) Empty (iv) Empty (v) Not emtpy
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Which of the following are examples of the null set Set of odd natural numbers divisible by 2

Solve 30x lt 200 , when (i) is x a natural number

State whether each of the following set is finite or infinite: The set of lines which are parallel to the x-axis

Which of the following are examples of the null set { y : y is a point common to any two parallel lines}

Which of the following are examples of the null set { x : x is a natural numbers, x 7 }

Find the union of each of the following pairs of sets : A = { x : x is a natural number and 1 B = { x : x is a natural number and 6 < x < 10 }

Find the union of each of the following pairs of sets : A = { x : x is a natural number and multiple of 3} B = { x : x is a natural number less than 6}

Which of the following are empty sets? Justify your answer. (i) Set of integer which lie between 2 and 3. (ii) Set of natural numbers that are smaller than 1. (iii) Set of odd numbers that leave remainder zero, when divided by 2.

Solve 24x lt 100 , when (i) x is a natural number, (ii) x is an integer.

Which of the following pairs of sets are disjoint {1, 2, 3, 4} and { x : x is a natural number and 4 ≤ x ≤ 6 }