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