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1)0
2)5+2 =7
4+3 = 7
-7+14 = 7
-17 +24 = 7
6 + 1 =7
-10 + 17 = 7
3)2 or -2
x+4=-x
4=-x-x
4 =-2x
4/-2=x
-2=x
4)1
x-2=-x
x+x=2
2x=2
x=1
5)i don't know
6)We know that the set of integers is
Z = { - ∞, ..., -1, 0, 1, ..., ∞}
Now, to find two distinct integers whose sum is equal to one integer, we need to add two distinct integer to get another integer.
We take two integers 1 and 2.
Then, their sum is = 1 + 2 = 3,
which is another integer.
In this way, we can find infinitely many pairs of integers.
E.g., {(1, 8), (10, -2), (7, 8), ...}
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thanks for answering actually this is my first ID..
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