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
Write with reason, whether the following set is finite or infinite.
Set of apparatus in the laboratory
Write with reason, whether the following set is finite or infinite.
Set of whole numbers
State the following sets are finite or infinite:
B = {x : x ∈ W and 5x -3 ≤ 20}
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:
The set of points of intersection of two parallel lines.
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.
P = {x : x = 3n + 2, n ∈ W and x < 15}
Identify the following sets are equivalent or unequal or equal sets?
A = The set of vowels in the English alphabets.
B = The set of all letters in the word “VOWEL”
Identify the following set as null set or singleton set
A = {x : x ∈ N, 1 < x < 2}
The set P = {x | x ∈ Z, −1 < x <1} is a
