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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
MCQ
Sum
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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.
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