Question

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

Answer 1

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.