Question

What does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?

Please help!! I've been stuck on this for WEEKS!!

Answer 1

x is a rational number

Explanation:

Answer 2

9514 1404 393

Answer:

x must be rational

Explanation:

Assuming a, b, m, n are integers (with b, n not zero), the closure properties of the set of integers tell you that any product or sum of integers is also an integer. That means the difference of products bm-an is an integer, as is the product bn.

Then the value of x is a ratio of integers, so is rational.

The conclusion you can draw is that x must be rational if its sum with a rational number is also rational.