Advertisements
Advertisements
प्रश्न
State whether the following statement is an empty set or not? why?
C = {x | 5x - 2 = 0, x ∈ N}
उत्तर
⇒ 5x - 2 = 0
⇒ 5x = 2
⇒ x = `2/5`
We know that natural number, N = {1, 2, ...}
∴ C = {x | 5x - 2 = 0, x ∈ N} = {}
∴ C is an empty set.
APPEARS IN
संबंधित प्रश्न
Write with reason, whether the following set is finite or infinite.
B = {y | y < -1, y is an integer}
State the following sets are finite or infinite:
M = {r : r = `3/"n"`; n ∈ W and 6 < n ≤ 15}
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:
C = {even numbers between 6 & 10}
State, if the following pair of a set is equivalent or not:
Set of integers and set of natural numbers.
Find the cardinal number of the following set.
M = {p, q, r, s, t, u}
Find the cardinal number of the following set.
Q = `{y : y = 4/(3"n"), "n" ∈ "N" and 2 < "n" ≤ 5}`
Identify the following set as null set or singleton set
A = {x : x ∈ N, 1 < x < 2}
If S = {square, rectangle, circle, rhombus, triangle}. List the elements of the following subset of S
The set of shapes which have 5 sides
Find the number of subsets and the number of proper subsets of the following set
X = {x² : x ∈ N, x² ≤ 100}