Math Help - rational numbers proof

1. rational numbers proof

Let $a,b \epsilon R,$ with $a. Show that there exists a number $x\epsilon R$ such that $a with $x$ rational or not rational, as we wish.

Thank you!!!!

2. Originally Posted by Barton
Let $a,b \epsilon R,$ with $a. Show that there exists a number $x\epsilon R$ such that $a with $x$ rational or not rational, as we wish.

Thank you!!!!
Choose
$x = \frac{a + b}{2}$

I leave it to you to show that x has the required property.

-Dan