Firstly, foil -5/2(3x + 4):
-\frac{15}{2}x-10<6-3x
Next, add 15/2x on both sides:
-\frac{3}{1}\times\frac{2}{2}=-\frac{6}{2}\\\\-\frac{15}{2}x-10<6-\frac{6}{2}x\\\\-10<6+\frac{9}{2}x
Next, subtract 6 on both sides of the equation: -16<\frac{9}{2}x
Lastly, multiply both sides by 2/9 and your answer will be: -\frac{32}{9}<x