Advertisements
Advertisements
प्रश्न
State the following statement is true or false:
The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets.
विकल्प
True
False
उत्तर
True.
Explanation:
Set of even natural number less than 21
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
∴ Cardinal Number of this set = 10
Set of odd natural numbers less than 21
= {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}
∴ Cardinal number of this set = 10
Now we see that cardinal number of both these sets = 10
∴ "The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets". Hence it is a True statement.
APPEARS IN
संबंधित प्रश्न
Is {x : x is a factor of 27} ≠ {3, 9, 27, 54} ? Give reason.
Write the set of even factors of 124.
Write the set of prime factors of 3234.
Is {x : x2 – 5x – 6 = 0} = {2, 3} ?
Find the cardinal number of the following sets:
A1 = {-2, -1, 1, 3, 5}
Find the cardinal number of the following sets:
A2 = {x : x ∈ N and 3 ≤ x <7}
Find the cardinal number of the following sets:
A4 = {b : b ∈ Z and -7 < 3b -1 ≤ 2}
State the following statement is true or false:
If A = {x : x is an even prime number}, then set A is empty.
State the following statement is true or false:
The set of squares of integers and the set of whole numbers are equal sets.
State the following statement is true or false:
If set P = set M, then n(P) = n(M).
