# How do you solve  x>1-x?

May 11, 2015

Operations that you can perform on both sides of an inequality without effecting the orientation of the inequality:
1. Add or Subtract the same value to/from both sides
2. Multiply or divide the same value provided it is $> 0$ to both sides

$x > 1 - x$

Add $x$ to both sides:
$2 x > 1$

$x > \frac{1}{2}$