# How do you solve 4a-2>14?

Dec 23, 2016

$a > 4$

#### Explanation:

The first step in solving this problem is to use the necessary mathematics to isolate the $a$ term on one side of the inequality and the constants on the other side of the inequality while keeping the inequality balanced:

$4 a - 2 + \textcolor{red}{2} > 14 + \textcolor{red}{2}$

$4 a + \left(- 2 + \textcolor{red}{2}\right) > 14 + \textcolor{red}{2}$

$4 a + \left(0\right) > 14 + \textcolor{red}{2}$

$4 a > 14 + 2$

Now combine the like terms, in this case the constants:

$4 a > 16$

Finally, solve for $a$ while keeping the inequality balanced:

$\frac{4 a}{\textcolor{red}{4}} > \frac{16}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} a}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}} > 4$

$a > 4$