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.

Question

Mathematics

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8 March, 13:55

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.

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Answers (1)

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Viviana Pennington · 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.