Question

Please solve the following inequality for me, the answer should be
h > 108
But I don't know the steps, please show the correct steps
I will mark you as brainliest if your steps are correct

Answer 1

Step-by-step explanation:

We have,

$4( \frac{h}{3} + \frac{3}{4} ) < 3( \frac{h}{2} - 5)$

$\implies \frac{4h}{3} + 3 < \frac{3h}{2} - 15$

$\implies \frac{4h}{3} - \frac{3h}{2} + 3 + 15 < 0$

$\implies \frac{4h}{3} - \frac{3h}{2} + 18< 0$

$\implies \frac{8h - 9 h + 108}{6} < 0$

$\implies \frac{ - h + 108}{6} < 0$

$\implies - h + 108 < 0$

$\implies \: h - 108 > 0$

$\implies \: h > 108$