Advertisements
Advertisements
Question
State the following statement is true or false:
The set of squares of integers and the set of whole numbers are equal sets.
Options
True
False
Solution
False.
Explanation:
Integer Square of Integer Whole No.
0 : (0)2 = 0 0
±1 : (±1)2 = 1 1
±2 : (±2)2 = 4 2
±3 : (±3)2 = 9 3
±4 : (±4)2 = 16 4
±5 : (±5)2 = 25 5
..... : ..... ..... .....
..... : ..... ..... .....
∴ Set of square of integers
= {0, 1, 4, 9, 16, 25,.......}
Set of whole numbers = {0, 1, 2, 3, 4, 5, 6, 7,....}
Hence "The set of square of integers and the set of whole numbers are equal...False statement.
APPEARS IN
RELATED QUESTIONS
Is {1, 2, 4, 16, 64} = {x : x is a factor of 32}? Give reason.
Is {x : x is a factor of 27} ≠ {3, 9, 27, 54} ? Give reason.
Write the set of odd factors of 72.
Write the set of prime factors of 3234.
Is {x : x2 – 7x + 12 = 0} = {3, 4} ?
Is {x : x2 – 5x – 6 = 0} = {2, 3} ?
Find the cardinal number of the following sets:
A1 = {-2, -1, 1, 3, 5}
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.
State the following statement is true or false:
In n(P) = n(M), then P → M.
State the following statement is true or false:
n(A) = n(B) => A = B.
