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Question

Which of the following statements is not true?


A

The sum of two integers is always an integer.

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B

The difference of two integers is always an integer.

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C

Sum of four integers can never be zero.

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D

-14 > - 8 - (-7)

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Solution

The correct options are
C

Sum of four integers can never be zero.


D

-14 > - 8 - (-7)


We know that addition and subtraction of integers follow closure property. So, the first two statements are correct.

Consider four integers 3, 5, -6, -2.
The sum of these integers
= 3 + 5 + (-6) + (-2) = 0

Here,
-8 - (-7) = -1 then,
-1 > -14

Therefore, statement iii and iv are not true.


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