# How do you solve 1/2a + 1/3 > 3/4?

Jun 2, 2015

Given $\frac{1}{2} a + \frac{1}{3} > \frac{3}{4}$

If we multiply all terms (both sides of the inequality) by 12 we can clear the fractions

$6 a + 4 > 9$

$6 a > 5$

$a > \frac{5}{6}$

$\textcolor{w h i t e}{\text{XXXXX}}$Note that since all operations (multiplication, subtraction, then division) involved values $> 0$, the orientation of the inequality was not effected.