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Q.

Write the pairs of integers whose sum is 0.


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a

(– 1, 1) , (–2, 2) , (–3, 3) , (–4, 4)

b

(1, 1) , (2, 2) , (–3, 3) , (–4, 4)

c

(1, 1) , (2, 2) , (3, 3) , (–4, 4)

d

(1, 1) , (2, 2) , (3, 3) , (4, 4) 

answer is A.

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Detailed Solution

Concept: Integers: Positive and negative numbers, as well as zero, form integers.
There are numerous ways to obtain a pair of integers whose sum is zero. However, the number must match the opposing sign exactly.
An integer is an integer that cannot be fractional and can only be positive, negative, or zero.
The definition of the set of an integer, given as z, isQuestion ImageAn integer is a number without a fractional part (no decimals ) .
Integers are defined as the counting numbers 1, 2, 3, etc., zero (0 ) , and the negative of the counting numbers – 1, –2, –3, etc.
Various pairs are possible where the sum of the numbers is 0.
Let us take an example where there is a positive and a negative count of 15.
The value zero is obtained by adding the positive and negative counting numbers.
Question ImageThere are many pairs that are comparable, such as (–1, 1) , (–2, 2) , (–3, 3) , (–4, 4) , etc.
Hence, the correct answer is an option (1) .
 
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Write the pairs of integers whose sum is 0.