# How do you graph and solve -5<1/4 (x-4) -2(4-x) ?

May 1, 2017

the first step when solving inequalities (1 of the methods, not exclusive) is to move everything over to 1 side

#### Explanation:

$5 + \frac{x - 4}{4} - 2 \left(4 - x\right) > 0$

Multiply by 4 to get rid of the denominator

$20 + \left(x - 4\right) - 32 + 8 x > 0$
$9 x - 16 > 0$
$9 x > 16$
from here, you would be able to get a linear graph. The answer should be where x > $\frac{16}{9}$