What should both sides of 2/3n>5/6 be multiplied by to get n>5/4?

1 Answer
Mar 12, 2018

$\text{multiply by } \frac{3}{2}$

Explanation:

$\text{to isolate n on the left multiply both sides by } \frac{3}{2}$

$\text{note that } \frac{3}{2} \times \frac{2}{3} = 1$

$\Rightarrow \frac{3}{2} \times \frac{2}{3} n > \frac{5}{6} \times \frac{3}{2}$

$\Rightarrow n > \frac{15}{12} \Rightarrow n > \frac{5}{4}$