How do you solve the inequality 4-x<3?

Apr 15, 2017

$x > 1$

Explanation:

First group like terms. Remember when you move a figure or a variable to the other side, the sign changes.

$- x < 3 - 4$

$- x < - 1$

Divide both sides by $- 1$. When you divide by a negative number, you change the inequality sign to its opposite.

$\frac{\cancel{- 1} x}{\cancel{- 1}} > \frac{\cancel{-} 1}{\cancel{-} 1}$

$\Rightarrow x > 1$