Is #-24+a# rational or irrational?

1 Answer
Apr 2, 2017

It depends on whether #a# is rational or irrational.

Explanation:

Let #A in RR = -24 +a#

Since #-24# is an integer it is rational but takes no part in determining the rationality or otherwise of #A#

Hence: Whether or not #A# is rational depends on the rationality or otherwise of #a#

#:. A# is rational if #a# is rational and #A# is irrational if #a# is irrational