Advertisements
Advertisements
प्रश्न
Find, if the following sets are empty:
B = {x : x2 + 4 = 0, x ∈ N}
उत्तर
B = {x : x2 + 4 = 0, x ∈ N}
x2 + 4 = 0
⇒ x2 = -4
⇒ x = `sqrt(-4)` which is not a natural number.
But x ∈ N
∴ B = { }
∴ Given set B is an empty set.
APPEARS IN
संबंधित प्रश्न
Which of the following is an empty set? why?
B = {x | x2 = 0}
Write with reason, whether the following set is finite or infinite.
Set of people from your village.
Find, if the following sets are singleton sets:
The set of points of intersection of two non-parallel st. lines in the same plane
Are the sets A = {b, c, d, e} and B = {x : x is a letter in the word ‘MASTER’} joint?
State, if the following pair of a set is equivalent or not:
P = {5, 6, 7, 8} and M = {x : x ∈ W and x < 4}
State if the following set is a finite set or an infinite set:
{x : x = 3n – 2, n ∈ W, n ≤ 8}
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 4 equal sides
If A = {a, {a, b}}, write all the subsets of A.
