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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!!


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 Rati class=

Sagot :

9514 1404 393

Answer:

  x must be rational

Step-by-step 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.

Answer:

x is a rational number

Step-by-step explanation: