# How do you solve -5/4p+6<12?

Dec 6, 2016

$p > - \frac{24}{5}$

#### Explanation:

Step 1 is to isolate the $p$ term while keeping the inequality balanced:

$- \frac{5}{4} p + 6 - 6 < 12 - 6$

$- \frac{5}{4} p + 0 < 6$

$- \frac{5}{4} p < 6$

Step 2 is to solve for $p$ while keeping the inequality balanced. Additionally, we must remember and apply the rule about multiplying or dividing an inequality by a negative number causes the inequality to reverse or "flip":

$- \frac{4}{5} - \frac{5}{4} p > - \frac{4}{5} \cdot 6$

$\frac{- 20}{- 20} p > - \frac{24}{5}$

$1 p > - \frac{24}{5}$

$p > - \frac{24}{5}$