81
24)
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the sum of x and y is a rational number. which statement is correct?
the number represented by y must be rational.
в)
the number represented by x must be rational.
the number represented by x may be rational or irrational.
the number represented by x must be rational and the number
represented by y must be rational.

The number represented by x may be rational or irrational

Step-by-step explanation:

Rational and irrational numbers

For this answer, we must remind that a rational number is such that it can be expressed as a fraction. Irrational numbers cannot. Examples of rational numbers are

Examples of irrational numbers are

To help us to better explain this answer, let's suppose

They both are irrational and their sum is rational as shown:

The first option: "The number represented by y must be rational" is false because y is not rational

The second option: "The number represented by X must be rational." and the last option: "The number represented by x must be rational and the number

represented by y must be rational" are equally false.

The only true option is: "The number represented by x may be rational or irrational".  

We can clearly see one member of a sum doesn't necessarily define it as irrational

(3x-8) or (3x+8)

step-by-step explanation: