Answer :
The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Prove of rational number
Given nonzero integers:
a, b, c, d
- If a/b is added to x
a/b + x
- the sum is c/d
a/b + x = c/d
prove x to be a rational number
a/b + x = c/d
- subtract a/b from both sides
a/b + x - a/b = c/d - a/b
x = c/d - a/b
x = (cb - ad) / bd
Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
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