Question

Modify the statement below to make it a true statement? If a is irrational and b is rational, then a+b is rational.


A. If a is rational, and b is rational, then a+b is rational.

B. If a is irrational and b is irrational, then a+b is irrational.

C. If a is rational and b is rational, then a+b is irrational.

D. If a is irrational and b is irrational, then a+b is rational.

Answer 1

A is correct because rational numbers are closed under addition. That is the only one that is 100% true. The others are sometimes, but B might also be correct.