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## Homework Statement

Quick question on Rational Inequalities..

Say I have

[tex]\frac{1+x}{1-x}[/tex] [tex]\huge\geq[/tex] 1

Why can we not multiply 1 by denominator (1-x) is this because if x > 1 then (1-x) would be negative in effect changing the sign of the inequality.. but if x<1 then the inequality is preserved? therefore we subtract 1 from either side..setting the inequality equal to zero?

sorry the formatting isnt quite right on that expression but the left hand side is all one expression .. greater than or = 1