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प्रश्न
State the following statement is true or false:
The set of squares of integers and the set of whole numbers are equal sets.
विकल्प
True
False
उत्तर
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.
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संबंधित प्रश्न
Write the set of even factors of 124.
Write the set of odd factors of 72.
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Find the cardinal number of the following sets:
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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 odd prime numbers is the empty set.
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.
