Advertisements
Advertisements
Question
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.
Options
True
False
Solution
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
RELATED QUESTIONS
Is {1, 2, 4, 16, 64} = {x : x is a factor of 32}? Give reason.
Write the set of odd factors of 72.
Is {x : x2 – 7x + 12 = 0} = {3, 4} ?
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}
If P = {P : P is a letter in the word “PERMANENT”}. Find n (P).
State the following statement is true or false:
The set of odd prime numbers is the empty set.
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).
State the following statement is true or false:
n(A) = n(B) => A = B.
