# How do you solve and graph 4x + 3 < 5x?

Dec 24, 2016

$x > 3$

#### Explanation:

First, isolate the $x$ terms on one side of the inequality and the constants on the other side of the inequality while keeping the inequality balanced:

$4 x + 3 - \textcolor{red}{4 x} < 5 x - \textcolor{red}{4 x}$

$4 x - \textcolor{red}{4 x} + 3 < \left(5 - 4\right) x$

$0 + 3 < 1 x$

$3 < x$

To solve in terms of $x$ we must reverse or "flip" the inequality:

$x > 3$