# How do you solve 0.6 > 1.4+2.4x?

Mar 5, 2018

See a solution process below:

#### Explanation:

First, subtract $\textcolor{red}{1.4}$ from each side of the inequality to isolate the $x$ term while keeping the inequality balanced:

$0.6 - \textcolor{red}{1.4} > 1.4 - \textcolor{red}{1.4} + 2.4 x$

$- 0.8 > 0 + 2.4 x$

$- 0.8 > 2.4 x$

Now, divide each side of the inequality by $\textcolor{red}{2.4}$ to solve for $x$ while keeping the inequality balanced:

$- \frac{0.8}{\textcolor{red}{2.4}} > \frac{2.4 x}{\textcolor{red}{2.4}}$

$- 0. \overline{3} > \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2.4}}} x}{\cancel{\textcolor{red}{2.4}}}$

$- 0. \overline{3} > x$

To state the solution in terms of $x$ we can flip or reverse the entire inequality:

$x < - 0. \overline{3}$