# How do you solve 4-abs(5/3y+4)>2/5?

Jul 2, 2015

$4 - | \frac{5 y}{3} + 4 | > \frac{2}{5}$

#### Explanation:

|(5y)/3 + 4| < 4 - 2/5 = 18/5
Separate solving into 2 parts:

1. $\left(\frac{5 y}{3} + 4\right) < \frac{18}{5}$ -> 5y/3 < -2/5 -> y < - 6/25

2.$\left(- \frac{5 y}{3} + 4\right) > \frac{2}{5}$ -> - ((5y)/3 - 4) > 2/5# --> - 5y/3 > 2/5 + 4 =

= $\frac{22}{4} - \to \frac{5 y}{3} > \frac{22}{20} = \frac{11}{10}$ --> $y > \frac{33}{50}$