Question

Determine whether the proposed negation is correct. If it is not, write a correct negation.

a. The product of any irrational number and any rational number is irrational.
Proposed negation:

b. The product of any irrational number and any rational number is rational.
c. The proposed negation is correct.

Answer 1

The proposed negation is incorrect. The correct negation would be:

There exists at least one irrational and a rational number such that the product of those numbers is not irrational (rational).