Advertisements
Advertisements
Question
Find, if the following sets are empty:
A = {x : x ∈ N and 5 < x < 6}
Solution
A = {x : x ∈ N and 5 < x < 6}
As 5 < x ≤ 6
∴ x = 6
∴ A = {6}
Hence given set A is not an empty set.
APPEARS IN
RELATED QUESTIONS
Which of the following is an empty set? why?
B = {x | x2 = 0}
Find, if the following sets are singleton sets:
The set of points of intersection of two non-parallel st. lines in the same plane
Find, if the following sets are empty:
D = {prime numbers between 7 & 11}
State, if the following pair of a set is equivalent or not:
A = {x : x ∈ N and 11 ≥ 2x – 1} and B = {y : y ∈ W and 3 ≤ y ≤ 9}
State, if the following pair of a set is equivalent or not:
Set of whole numbers and set of multiples of 3.
Identify the following set as null set or singleton set
C = {0}
If S = {square, rectangle, circle, rhombus, triangle}. List the elements of the following subset of S
The set of shapes which have radius
Find the number of subsets and the number of proper subsets of the following set
X = {x² : x ∈ N, x² ≤ 100}
The set P = {x | x ∈ Z, −1 < x <1} is a
If B – A is B, then A ∩ B is
